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Annular Solar Eclipse of 2003 May 31

Local Circumstance Tables

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Local circumstances for about 330 cities and locations in the UK, Iceland, Europe and Asia are presented in Tables 1.6 through 1.15. These tables give the local circumstances at each contact and at maximum eclipse for every location. The coordinates are listed along with the location's elevation (meters) above sea-level, if known. Otherwise, the local circumstances are calculated for sea-level. The Universal Time of each contact is given to a tenth of a second, along with position angles P and V and the altitude of the Sun. The position angles identify the point along the Sun's disk where each contact occurs and are measured counter-clockwise (i.e., eastward) from the north and zenith points, respectively. Locations outside the antumbral path miss the annular eclipse and only witness first and fourth contacts. The Universal Time of maximum eclipse (either partial or annular) is listed. Next, the position angles P and V of the Moon's disk with respect to the Sun are given, followed by the altitude and azimuth of the Sun at maximum eclipse. Finally, the corresponding eclipse magnitude and obscuration are listed. For annular eclipses, the eclipse magnitude is identical to the topocentric ratio of the Moon's and Sun's apparent diameters.

Two additional columns are included if the location lies within the path of the Moon's umbral shadow. The antumbral depth is a relative measure of a location's position with respect to the central line and path limits. It is a unitless parameter which is defined as:

u = 1 - abs(x/R)      [1]

where:

u = antumbral depth
x = perpendicular distance from the shadow axis (kilometers)
R = radius of the umbral shadow as it intersects Earth's surface (kilometers)

The antumbral depth for a location varies from 0.0 to 1.0. A position at the path limits corresponds to a value of 0.0 while a position on the central line has a value of 1.0. The parameter can be used to quickly determine the corresponding center line duration. Thus, it is a useful tool for evaluating the trade-off in duration of a location's position relative to the central line. Using the location's duration and antumbral depth, the center line duration is calculated as:

D = d/(1 - (1 - u)2)1/2 seconds      [2]

where:

D = duration of annularity on the central line (seconds)
d = duration of annularity at location (seconds)
u = antumbral depth

The final column gives the duration of annularity. The effects of refraction have not been included in these calculations, nor have there been any corrections for center of figure or the lunar limb profile.

Locations were chosen based on general geographic distribution, population, and proximity to the path. The primary source for geographic coordinates is The New International Atlas (Rand McNally, 1991). Elevations for major cities were taken from Climates of the World (U. S. Dept. of Commerce, 1972). The city names and spellings presented here are for location purposes only and are not meant to be authoritative. They do not imply recognition of status of any location by the United States Government.


Table adapted from NASA TP 2002-211618 "Annular and Total Solar Eclipses of 2003."



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WebMaster: Fred Espenak
Planetary Systems Branch - Code 693
e-mail: espenak@gsfc.nasa.gov

NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771 USA

Last revised: 2003 Jan 06 - F. Espenak