Consequences of inaccuracy of gravitational parameter value for orbits in the earth's gravitational field
Abstract
The effects of a unit increase in the gravitational parameter (the geocentric gravitational constant) are examined with attention to the potential energy, the semiminor axis, the apsidal direction, apsidal distances, apsidal velocities, and the semilatus rectum. Nomographs or tables of computed values are presented for the potential energy of a mass unit or the square of the escape velocity in the earth's gravitational field along with the changes corresponding to the unit increase of the gravitational parameter; the semiminor axis of the orbit; the change of the true anomaly evoked by the unit increase of the gravitational parameter of the earth's gravitational field; the true anomaly of the earth's gravitational field; apsidal distances and velocities in the earth's gravitational field; certain dependences for elliptical and hyperbolic paths; and pericenter velocity and its change corresponding to the unit increase of the gravitational parameter in the earth's field.
 Publication:

Acta Technica
 Pub Date:
 1977
 Bibcode:
 1977AcTec..22..718M
 Keywords:

 Earth Gravitation;
 Earth Orbits;
 Geocentric Coordinates;
 Gravitational Constant;
 Gravitational Fields;
 Orbital Velocity;
 Two Body Problem;
 Apsides;
 Escape Velocity;
 Gravity Anomalies;
 Orbital Mechanics;
 Potential Energy;
 Astrodynamics