Meridian Arc Length Obtained by Inoh Tadataka and Uncertainty Associated with the Survey
Based on Data in “Sokuchidosetu”
Bibliographic Data
| ID | 21348922 |
|---|---|
| Authors | Masaru KAIDZU (Pasco Corporation (Japan), corresponding author) |
| Year | 2020 |
| Volume | 129 |
| Issue | 2 |
| Pages | 275-283 |
| Publication date | 2020-04-25 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Journal of Geography (Chigaku Zasshi) (JOURNAL) |
| Journal identifiers | ISSN: 0022-135X • E-ISSN: 1884-0884 |
| Publisher | Tokyo Geographical Society (PUBLISHER • JP) |
| DOI | 10.5026/jgeography.129.275 |
| OpenAlex | W3025674125 |
| Language | EN |
| Citations received | 4 |
| References cited | 1 |
In 1880, Inoh Tadataka surveyed the meridian arc length corresponding to one degree of latitude difference. A record of calculations is contained in a handwritten manuscript titled “Sokuchidosetsu” or “On Meridian Arc Length Corresponding to One Degree.” The uncertainty of latitude for a short arc is dominant and is estimated to be about 0.42 minutes. This uncertainty is in accord with the rounding latitude at half a minute in many documents that refer to Inoh's work on coordinates. Some points were used for astronomical observations of latitude in two successive years. A comparison of those results suggests some bias in the results and a standard deviation around the mean of about 1.3 minutes. This is obviously much more than the uncertainty estimated from the scatter of one degree meridian arc length against the N–S component of a great circle connecting the ends of a route. Data sets of astronomical latitude observations surveyed independently help clarify the uncertainty associated with Inoh's latitude observations obtained from field surveys. The scatter of distance and latitude difference data around the linear trend suggests that the uncertainty of the N–S distance is about 7.3/10,000
Arc (geometry) · Astronomy · Degree (music) · Earth's magnetic field · Geodesy · Geographic coordinate system · Geography · Geomagnetic latitude · Geometry · Latitude · Low latitude · Meridian (astronomy) · Meteorology · Physics · Rounding · Standard deviation · Statistics · Computer Science · Geographic Information Systems Studies · Geology · Historical Astronomy and Related Studies · Historical Geography and Cartography · Mathematics
| Unique citing works | 4 |
|---|---|
| Citations per year | 0,67 |
| Citation span | 2020 - 2021 (2) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 4 |