While overly broad ZIP code based zmanim geolocation can be an issue in calculating zmanim accurately, going overboard in geolocation precision and accuracy for zmanim is a (harmless) waste of time. Let’s start with the basics. Asking what the zmanim are for the USA is too broad of a location. Narrowing it down to a state is also too broad since zmanim at one side of the state are likely to be different than the other side. How small (or precise) does an area have to be for the zmanim calculated to be considered accurate? The location of zmanim are calculated based on degrees of longitude (east to west) and latitude (north to south).
The earth’s circumference at the equator is about 40,000 km (about 25,000 mi). There are 360 degrees of longitude around the world (The 0° line is centered on the Royal Greenwich Observatory in England, and longitude lines extend 180° to the west and -180° to the east). For simplicity we will deal with longitude degrees at the equator. If we divide the earth’s circumference by 360°, each degree of longitude will be 111 km (69 mi) apart. The sun’s path travels 1° of longitude in 4 minutes, so calculating zmanim with one degree accuracy (no decimal points such as the latitude of 40° and longitude of -74° for Lakewood, NJ, a point in the Atlantic about 3 mi off the coast of Toms River, NJ) results in zmanim accurate to 4 minutes in each direction or an 8 minute spread, not quite accurate enough to rely on. Moving to one decimal point will pinpoint the location for zmanim calculation to an accuracy of 11 km or 48 second accuracy. That is close to being accurate enough, especially given the inaccuracy of solar time calculations resulting from hard to predict refraction caused by varying atmospheric conditions. However, this should be avoided. Adding a second decimal point (such as the latitude of 40.09° and longitude of -74.22° for Lakewood, NJ – a spot at the edge of Lake Carasaljo in Lakewood) would have a precision of about 4 seconds, more than enough accuracy for zmanim. A concrete example of how zmanim differ from place to place in a small area would be the difference between Beth Medrash Govoha (BMG) and the Westgate Bais Medrash in Lakewood. They are 2.7 km (1.69 mi) or a drop more than 0.01° apart and calculations show that there is about a 6 second difference in sunrise and sunset times between these two locations.
From time to time I am contacted by developers with zmanim related technical questions. Debugging their issues often requires information on the latitude and longitude that they are using to try and replicate the issue. Often the latitude and longitude are sent with multiple decimal points. The most extreme was 14 decimal points. To understand the ridiculousness of this level of precision, see the table below. To read more on the subject, see the Stack Exchange page Measuring accuracy of latitude and longitude? and the xkcd cartoon on the subject.
There are two different ways to reference latitude and longitude. One uses a sexagesimal (60 based) system of degrees indicated by a ° symbol, minutes indicated by a ' and seconds indicated by ". Think 60 minutes in an hour, 60 seconds in a minute and apply it to latitude numbers. The other system uses the more familiar decimal based format. For example The main BMGbeis hamedrash is located at latitude 40.096, longitude -74.222 in degree/decimal. In degrees, minutes and seconds this would be latitude 40° 5′ 46″ N, longitude 74° 13′ 19″ W.
I was recently shown a zmanim calendar that seemed to be slightly inaccurate. Researching the issue showed that the intention was to generate the calendar for the location XX° 46′ N XX° 15′ W (latitude and longitude degrees are masked), but was mistakenly calculated for XX.46° -XX.15°. This confusion of the sexagesimal based system with the decimal based system is not uncommon. The discrepancy in sunrise and sunset in the calendar versus what it should have been was about 80 seconds in the summer. If someone were to confuse XX° 9′ with XX.9° (for both latitude and longitude) you have a much more significant relative error of 0.75°. The impact of this type of mistake is mostly caused by longitude, but latitude changes impact zmanim calculations as well. This 0.75° mistake can result in a zmanim discrepancy of up to five and a half minutes at the latitude of Lakewood, NJ. As confirmed by Dr. Noson Yanofsky, this scenario has the most extreme error, while 10′ confused with 0.10° has the least significant error of 0.066°.
An interesting variant of such a mistake is calculating a zman for a depression angle (how far the sun is below the horizon) that is based on degrees and minutes using degree/decimal. An example is mistakenly calculating tzais of 7° 5′ , or 7.083° as 7.5°. See Hazmanim Bahalacha vol II p. 520 footnote 21 for a case where this mistake happened. It should be noted that many are of the opinion that a depression angle of 7.5° is the proper time of tzais. This was used in the first ever known printed calendar calculated based on depression angles. It was published in תקכ״ו / 1766 by Raphael Levi Hannover. See Hazmanim Bahalacha p. 524 for a picture of the luach and a list of other calendars that calculate tzais as 7.5°.
To answer the question in the image caption above, the time in a regular 12 hour / duodecimal based clock would be 7:40. With 10 hours instead of 12, each decimal hour on this clock is 72 minutes of regular time. Therefore 6 hours = 432 minutes. Add ~19/50 decimal minutes that are equivalent to ~28/72 regular clock minutes and you end up with 460 minutes after noon/midnight, or about 7:40 🙂.
As mentioned in the ZIP Codes and Zmanim – Use With Care article, using ZIP codes to geolocate your position for zmanim can be problematic when the zip code is large. With large zip codes, zmanim on the west side of the zip code can be quite a bit later than zmanim on the east side of the zip. Recently, Lazer Guttman created an SMS based zmanim service at (914) 409-9394 that provides a warning when zmanim are requested for large zip codes. This approach is probably the best that can be done. I would recommend that any zmanim service that is zip code based (and does not have a map to allow zeroing in to a precise location), use this data to provide a warning whenever the zip codes is wider than 0.5° of longitude. A degree of longitude spans 4 minutes (regardless of the latitude), so half of a zip code with half of a degree would span 2 minutes (one minute east or west of the center). It should be noted that Canadian postal codes are much smaller than zip codes (usually covering one side of a city block), and most likely do not face the same issue. A spreadsheet listing all zip codes with the maximum longitude and latitude distances (in degrees), was generated by Avraham David Gelbfish from OpenDataDE that is based on US Census data. His Python source code is below.
jsonfile = open("tl_2019_us_zcta510/out2.geojson")
zipcodes = json.load(jsonfile)
def getop(geolist, operation, longitude = None, latitude = None):
if isinstance(geolist, list):
answers = [getop(geo, operation) for geo in geolist]
for answer in answers:
lat, lng = answer
if latitude is None:
latitude = lat
if longitude is None:
longitude = lng
latitude = operation(latitude, lat)
longitude = operation(longitude, lng)
return latitude, longitude
with open("out2.csv", "w") as csvfile:
zwriter = csv.writer(csvfile)
zwriter.writerow(["Zip", "Latitude max distance", "Longitude max distance"])
for zipcode in zipcodes["features"]:
zip = zipcode["properties"]["ZCTA5CE10"]
geometry = zipcode["geometry"]["coordinates"]
maxlat, maxlng = getop(geometry, lambda x, y: x if x > y else y)
minlat, minlng = getop(geometry, lambda x, y: x if x < y else y)
dlat = abs(maxlat - minlat)
dlng = abs(maxlng - minlng)
zwriter.writerow([zip, dlat, dlng])
Determining zmanim times while on an airline flight is rather complex compared to calculating it for a fixed location. Some of the complexity involves:
Where you are currently located
Direction of travel / flightpath
The above 3 variables impact the calculation of what the zmanim are in your current location and where you will likely be when various zmanim are met.
Surprisingly, the hardest part is figuring out your current location. The shortest point between 2 points on the globe is the great circle route. Though it is the shortest path, airliners rarely fly this way. To take advantage of prevailing winds such as the Gulf Stream, or to avoid bad weather, airlines often fly much longerroutes and as a passenger you often do not know exactly where you are. Yes, the airline shows you a nice location map, but getting your exact coordinates from the map is not something that they usually supply. From a practical perspective, many people on domestic and short international flights will manage to figure out davening times by themselves. As a general rule of thumb, it is time for Shacharis when the sun rises and time for Maariv when it gets dark. Please keep in mind that most poskim are of the opinion that we use zmanim at sea level elevation, or ground level, and not the 37,000 foot elevation of the flight. This elevation results in a difference of approximately 20 minutes in sunrise and sunset times. Not sure when Mincha time is? Wait until shortly before sunset. Just keep in mind that when flying due east (such as a flight from NY to Israel), you are flying in the opposite direction as the sun and the time for davening is compressed. While you may expect sof zman krias shema to be 1/4 of the way into the day, in this case the davening window is compressed into a much shorter time. The real complexity is in flights that cross the halachic dateline, polar flights and to a lesser degree, cross-Atlantic and Pacific flights. This article will not delve into the halacha of in-flight zmanim, but solely on the technical aspects of figuring out the zmanim times.
Using your phone’s GPS to identify your in-flight location, or even a standalone GPS device will usually not work once you are away from cell towers (where your GPS no longer has the assistance of A-GPS). GPS signals are very weak and your GPS receiver typically does not have an antenna strong enough to pick up the signals in an aluminum or even newer carbon fiber composite airplane like the Airbus A350 and Boeing 787. To receive a signal, an external GPS receiver is usually required and assuming that you can get a signal (it helps if the external receiver is placed by a window), we can proceed. Note that while you would expect that the CFRP body of a Boeing 787 would allow for a much stronger signal than aluminum airliners, the graphite (and probably other materials) in the 787 CFRP in conjunction with the electrochromic windows on the 787, completely block GPS signals. It is this shielding as opposed to GPS jamming that blocks signals on El-Al 787s. In my testing with an external GPS device designed for aviation such as the Dual XGPS 160, the composite A350 and 787 both do not allow enough GPS signal through for a GPS receiver to provide a location fix. It may be surprising that it is easier to receive the weak GPS signal in an aluminum fuselage than a composite one, but keep in mind that carbon fiber is an excellent electrical conductor. Carbon fiber was used as the filament in Thomas Edison’s early light bulbs and does not let RF signals through and effectively acts as a Faraday cage. If you are able to receive a GPS signal, you can accurately calculate zmanim for your current location using tools such as the KosherJava zmanim map. Just change the latitude and longitude to what you see in your GPS in the URL https://kosherjava.com/maps/zmanim3.html?lat=75.74&lng=-63.22&zoom=3. While not an ideal solution, it does work. The same works for the rare airlines whose maps do show accurate GPS coordinates. Please note that Wi-Fi based geolocation will not work on your flight (in my testing it gave the location of the service provider headquarters).
Precalculated Flight Paths
Another way to figure out where you are located when in the air is via a precalculated flight path. This allows programs such as the Chai Tables Chai Air Times program for Windows and Android to work. However, they just calculate a great circle route between the origination and destination locations, something that is not very accurate. Currently MyZmanim’s Inflight charts are the most practical. These charts calculate the average path of the 5 previous flights in an attempt to better estimate your flight path and provide precalculated charts based on the time you take off. While this solution is currently the best that I am aware of, there are a number of issues with it. For one, much of the flight path over the oceans and Arctic that are provided by services such as FlightAware and others (that are used by MyZmanim) are just educated guesses for cross oceanic or Polar flights, since there are no ADS-B receivers in much of this area. As a matter of fact, this terrestrial ADS-B receiver free area comprises 75% of the globe. Even if the previous flight paths were accurate, your current flight may be very different. Flights such as the Cathay Pacific flights from the NY area to Hong Kong fly either east or west depending on wind conditions. MyZmanim deals with this scenario by providing both east and west maps (based on the in-flight map you would use one or the other) and indicating the portion of a flight-path that is unknown, but this is a warning that does nothing to help you accurately calculate zmanim.
Every airliner broadcasts its position, heading, altitude and speed using ADS-B. A technical user can bring an ADS-B-receiver with him on the flight and use it to retrieve the current information on his flight. This would work even when there are no ground based ADS-B receivers. This is something costly and beyond the technical ability of the vast majority of flyers.
Due to issues in tracking flights that came to light with the disappearance of Malaysia Airlines Flight 370, satellite based ADS-B tracking is rolling out and will be mandated. This will make it much easier for services such as MyZmanim to provide more accurate pre-flight estimates, since services such as Flight-Aware will be able to provide more exact historical flight paths. For users who do have in-flight Wi-Fi, services such as FlightAware will be able to provide almost real time location (note that many services have a 5 minute delay and are not really real-time), allowing future Wi-Fi connected zmanim apps to tap into this and provide accurate zmanim.
A primer for this halachic dateline post if you are not familiar with the subject, is the earlier Halachic Date Line Map post about the Jewish date-line. Based on the opinion of the Ba’al Hamaor, the Chazon Ish ruled that the dateline is 90° east of Yerushalayim, and it can’t split a landmass. The concept of graira is used to drag the land past the dateline to the water’s edge. This concept of graira is based on the Yesod Olam, a talmid/disciple of the Rosh. For this reason, according to the Chazon Ish, Korea and Australia follow the local date and not the previous date.
Islands Connected to Mainland by a Bridge
A question touched on in the previous article that was mostly theoretical, was about an island connected by a bridge to the mainland. Would the concept of graira apply to the island? The kollel members in Melbourne and others do not visit Phillip Island on Sundays for this reason, but Chabad chassidim who do not follow the Chazon Ish’s opinion, do visit Phillip Island on Sundays.
Islands in Bays
There are differing opinions whether an island in a bay would also be included in graira. Rabbi Yitzchok Meir Goldstein in his השבת בכל מושבותיכם (pages 85-88) brings the following opinions. Rabbi Shlomo Zalman Auerbach in הליכות שלמה (Moadim, vol. 2, page 70) is of the opinion that an island in a bay would be considered part of the land that partially surrounds it. In the same vein, (but not specifically in reference to a bay), Rabbi Moishe Sternbuch in מועדים וזמנים vol 7, ch. 236 mentions something similar (that the easternmost border of Australia would be a vertical line from north to south at the longitude of Brisbane, the eastern-most point of Australia). What is not clear is how large a bay can be. Rabbi Goldstein mentions that drawing a line from Siberia to Malaysia (thus creating a “bay”), would put Japan on the same side of the dateline as the Asian mainland. The Chazon Ish clearly stated that Japan was past the dateline. Presumably, Rabbi Shlomo Zalman Auerbach and Rabbi Moshe Sternbuch would agree that such a large area would not be included in graira. Given the lack of detail about the size of bays, it is possible that these poskim would only include very small bays (within the techum perhaps). It should be noted that Japan is only in the “bay” if you use a rhumb-line. Drawing a great circle line would result in Japan being out of the “bay”. Rabbi Dov Landau in the פשר חזון, and Rabbi Moshe Heinemann do not include bays as part of the graira zone. Rabbi Sternbuch was asked about bays by Rabbi Goldstein, and he agreed that according to the Chazon Ish, bays would not be included in graira, so Rabbi Sternbuch either reversed his earlier opinion, or he disagrees with the Chazon Ish’s opinion. There are related opinions that bays themselves do not drag islands within them into graira unless land to their east is part of graira. See Rabbi Leib Blum’s קו התאריך בכדור הארץ for details. For example the Sea of Okhotsk is to the west of the Kamchatka Peninsula. This means that they are of the opinion that you can’t have land to the east that is part of graira such as the Kamchatka Peninsula, and have Sea of Okhotsk and Sakhalin Island to the west of it that is considered past the line, (and back again to Siberia that is part of graira). The same would be the case in the portion of the Yellow Sea to the west of the Korean Peninsula and east of the Chazon Ish line, as well as the above mentioned Phillip Island and French island that are in the Western Port Bay near Melbourne. Bays such as Moreton Bay that includes Bribie and other islands near Brisbane, as well as Ulleungdo Island in the Sea of Japan would not be included in graira, since there is no graira land to the east of it.
Incheon International Airport and the Halachic Dateline
In January 2019, the Star-K held a Kashrus training seminar in Shanghai for mashgichim who live or work in Asia. Among the sessions, was a shiur about the halachic dateline by Rabbi Dovid Heber who shared the URL to my halachic dateline map with the participants. One of the mashgichim, Rabbi Yosef Wexler, who travels from Eretz Yisrael to Asia regularly, noticed a potential issue related to the Incheon airport, the main airport in South Korea (near Seoul). The airport is located on Yeongjong Island, that is connected to mainland South Korea by two long bridges. The island is within a Bay (formerly Chemulpo Bay), that is itself within the Yellow Sea that is itself a vary large bay. Ifgraira would not apply here (bridges and bays would not be considered a connection) and you followed the opinion of the Chazon Ish, the airport would observe Shabbos on local Sunday (the same issue faced in Japan). This impacts mashgichim who bypass Japan on Sundays, and regularly fly to Korea on flight KE958 on Motza’ei Shabbos from Israel on their way to China etc. The flight lands at about 3pm Sunday local time, when the airport may be observing Shabbos. It would also impact anyone else who plans on flying in or out of the airport between Motza’ei Shabbos and Sunday night.
Please consult a posek before relying on this for halacha lema’aseh. There are a number of opinions, and I will touch on a few of them.
As per Rabbi Heber, Rabbi Yonasan Weiner (a posek in Ohr Sameach) asked R’ Chaim Kanievsky about Phillip Island (that as mentioned above, has a bridge and is in a bay), and he said that it is ‘צריך עיון’. Based on this, Rabbi Moshe Heinemann ruled that if someone is in the Incheon airport from shkiah on Friday (local day) until it gets dark on Saturday, one should keep regular Shabbos. From when it gets dark on Saturday night until it gets dark on local Sunday deoraisas should be avoided, but derabanans are permissible. This would permit most activities. The following quote in Rabbi Yitzchok Meir Goldstein’s השבת בכל מושבותיכם should be noted:
שמעתי מדודי הגאון רבי משה היינעמאנן שליט״א שאולי גבול היבשה הוא כשיעור תחום שבת מסוף היבשה
Yeongjong Island is at its closest 1,950 meters from mainland South Korea (from the eastern tip of the island to Wolmido, a former island that is now connected to land), and thus beyond tchum Shabbos. It is therefore not within the extended maritime graira zone. This applies to Incheon, but not the Yellow Sea. Rabbi Heber in his note to the Star-K mashgichim stated that melachos deoraisa should not be done within 35 minutes of landing since that is the earliest time the KAL958 flight passes the Chazon Ish line over the Yellow Sea. At this point according to the Chazon Ish it would be Shabbos. This was also mentioned by Rabbi Goldstein as a possible deoraisa. See below for more details.
Permissible Activities on Incheon Island on Sundays
There are many variables and variations in various melachos, so please consult a posek before relying on this for halacha lema’aseh.
Note: This list is only meant for Incheon airport on Sundays (from Motza’ei Shabbos until it turns dark on Sunday night) and other areas where a majority of opinions hold it is a weekday, but an accepted minority hold it is Shabbos. This list should not be used in any other locations or on a day that is accepted as Shabbos.
Traveling as a passenger to and from Incheon airport by plane or car. You do not have to worry about the 12 miltchum Shabbos.
Carrying your belongings more than 4 amos outside the airport, or carrying them into the airport – there is no reshus harabim deoraisa on the island
Walking in the airport including the use of escalators and moving sidewalks.
Triggering automatic sensor doors, sensors in bathrooms etc. (there no need to wait for someone else to activate it).
Scanning boarding or other passes (including to open electronic gates).
Going through security, taking muktzeh out of pockets, and passing through metal detectors.
Electronically signing into a lounge.
If a paper signature or writing is required, try to avoid it. If there is no other option, use your alternate hand (left for a righty, right for a lefty). An ambidextrous person can’t do shinuy by changing hands, and can’t sign or write.
Typing on a computer and typing or calling with cellphones is permissible, but the screen saver or the automated powering down of the monitor has to activate by itself to “erase” your writing. For power saving and security reasons, almost all computers will end up having a screensaver or a monitor power down and clear the screen. If this is not in place, and your “writing” will remain on the screen, it is more of a maaseh ksiva. Saving the document to your hard drive is permissible.
Problematic Activities During This Time
Opening a taxi door that causes the dome light to turn on (ask the driver to open your door, or have him open his door first, thus turning on the dome light)
Writing (with paper and pen).
Showers in the lounge should be avoided since there can be deoriasas involved.
Making coffee should be done the same way you would do it on Shabbos. Instant is fine, brewing fresh in a machine should not be done.
Rabbi Shlomo Miller in his approbation to the above mentioned Hashabbos Bechol Moshvosaichem, mentions that:
… והביא שטה אחת דכדי שיראה הוי בכלל אסטרליא וכן הי׳ דעתי נוטה [כמובן א״א להביא ראיות ברורות בזה] אולם יש להוסיף דלפי הגמ׳ בכורות נ״ד: עד ט״ז מיל הוי שעור כדי שיראה ויש אחרונים שהביאו מזה לגבי היקף מחיצות בשבת במחיצות הנעשות מאליהן דצריך שיהא העומד בתוכו רואה את המחיצות ע״כ עד ט״ז מיל יש מקום להסתפק אפשר שנגרר אחר אסטרליא.
This intuition (that he is unsure of) would potentially remove the questionable status of Incheon airport.
בית שבים: מדקתני בית שבים ובית שבספינה משמע דתרי מילי נינהו דשבים אפילו בנוי על גבי קרקע הים שהביאו אבנים וטיט ושפכו בים עד שנעשה כמין תל ובנו עליו בית אין מטמא בנגעים משום דכתיב ״ארץ״ ולא ים
This implies that the only questionable status is for נגעים, but otherwise, man-made land would have the status of natural land. Rabbi Katz holds that the bridge itself would connect the island and give it the same halacha as the mainland. It should be noted that Rabbi Katz also discussed the issue of The Sea of Okhotsk. His opinion is that the line follows the contour of the land, and the Sea of Okhotsk and Sakhalin Island would not be included in graira, but mentioned that Rabbi Leib Blum felt that it should be included due to it being to the west of land that has graira.
Rabbi Mordechai Kuber in his upcoming book, Crossing the Dateline (expected to be published later this year) strongly feels that there is no problem in Incheon airport on Sundays due to it being in a bay (that is in itself a safek). The question of the bridges, its proximity to land, and the many sandbars between it and the land make it at most a sfaik sfaika, which most poskim should agree is not an issue even according to the Chazon Ish. This sfaik sfeka is in addition to the other opinions who do not agree with the Chazon Ish, and are of the opinion that Incheon is not east of the halachic dateline, and therefore Saturday is Shabbos in Incheon, and not Sunday.
Rabbi Yitzchok Meir Goldstein in a letter to me mentioned that there is a possibility of a deoraisa in flying on a flight that is completely or partially on Shabbos
… this is comparable to one who boards a plane which takes off before Shabbos and lands after Shabbos, which, as the Shailos U’Teshuvos Minchas Yitzchok 2:106, the Shailos U’Teshuvos Tzitz Eliezer 1:21 and the Shailos U’Teshuvos Shraga HaMeir 7:27 write, involves an issur d’oraysa transgressing the chiyuv of “shabosson” which is not fulfilled while on an airplane ride. (However, it could be that there is a sevara to say that there is a difference in the d’oraysa of “shabosson” between flying on an airplane for the whole Shabbos and flying over the Yellow Sea for a short time …). If, indeed, this involves an issur d’oraysa, this creates a problem not only for people who follow the opinion of the Chazon Ish with regard to the dateline, but even for people who refrain from issurim d’oraysa on the Shabbos of the Chazon Ish. If so, regardless of whether or not the sevara of graira applies to Incheon Airport, I would think that people should still not be flying to that airport on Sunday. Second of all, even if I am mistaken in the above comparison and there is no issur d’oraysa to fly over the Yellow Sea while it is Shabbos in the Yellow Sea, it would be worthwhile for you to mention in your article that at least while the airplane is flying over the Yellow Sea one should certainly be careful not to perform any melacha d’oraysa such as writing. I am not trying to offer a psak about these points, but I think there is reason to consult with a poseik whether these issues need to be mentioned in your article.
It should also be noted that on page 83 of השבת בכל מושבותיכם, Rabbi Chaim Kanievsky is quoted with a different psak than the one quoted above by Rabbi Yonasan Weiner. Rabbi Goldstein sent the following question to Rabbi Chaim Kanievsky
שמעתי שבחוף הים של אוסטרליה יש גשרים ובנינים שנבנו בידי אדם שיוצאים מן היבשה לתוך קצה הים, האם גם בנינים אלו וגשרים אלו המחוברים ליבשה נגררים אחר שאר ארץ אוסטרליה או רק הארץ שנעשה שם בידי שמים ולא מה שניתוסף בידי אדם בתוך הים?
Rabbi Kanievsky replied with his typical brevity
I would like to thank Rabbi Dovid Heber, Rabbi Shmuel Meir Katz, Rabbi Yitzchok Meir Goldstein, Rabbi Mordechai Kuber, My father-in-law R’ Feivel Muller and my wife for reviewing this article. This article is published in memory of my mother-in-law Mrs. Helen Muller חיה בת ר׳ יצחק הכהן ע״ה.