On determining the position of an object moving arbitrarily in the earth's gravitational field
Abstract
The problem of determining the position of an object moving arbitrarily in space within the earth's gravitational field is solved by using a system of inertial navigation. The earth is assumed a homogeneous ellipsoid of revolution. Using the Cayley-Klein parameters and the plane Cartesian system stereographically mapped to the sphere, it is shown that the coordinates of the object position and its orientation in space may be determined without applying a quasigeographical system of coordinates.
- Publication:
-
Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
- Pub Date:
- May 1976
- Bibcode:
- 1976DoUkr......433T
- Keywords:
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- Earth Gravitation;
- Geocentric Coordinates;
- Gravitational Fields;
- Gyroscopic Stability;
- Inertial Navigation;
- Orbit Calculation;
- Bodies Of Revolution;
- Cartesian Coordinates;
- Ellipsoids;
- Gyroscopes;
- Moments Of Inertia;
- Space Communications, Spacecraft Communications, Command and Tracking