Please fill or choose the data marked red and try submitting again.
Gravitational Potential and Coordinate Time Increment on Earth's Oblate Geoid:
Gravitational Potential:
Grav. (1)
Quadrupole (2)
centripetal (3)
Earth radius at pole
degrees
min
Earth radius at lat.
-GM/r
(GMa^2J/2r^3)*(3cos^2
q
-1)
(-0.5*
W
^2r^2sin^2
q
)
Total: (1+2+3)
F
(r): (1+2)
-GM/r^2
latitude 1
Earth radius average
latitude 2
Earth radius at equator
cos(lat)
sin(lat)
cos(lat)
sin(lat)
Earth
W
average
a*a*cos(lat)
b*b*sin(lat)
a*a*cos(lat)
b*b*sin(lat)
Earth Velocity r
W
a*cos(lat)
b*sin(lat)
a*cos(lat)
b*sin(lat)
p
r2 =A
Earth Mass
Coordinate Time Increment at Latitude (dt):
ns in one day
Grav.
Quadrupole
centripetal
(-GM/r)/c^2
GMa^2J(3Cos^2
q
-1)/(2c^2r^3)
W
^2*r^2*sin^2
q
/2c^2
Total:
G
GM
diff.
quadrupole coeff. J
Clock
Total in ns/day
diff. In meters from ideal Geoid:
latitude 1
m
c^2
latitude 2
m
diff. in ns
The browser does not support JavaScript. The calculations created using
SpreadsheetConverter
will not work. Please access the web page using another browser.