# Short-Term Orbit Prediction with J 2 and Mean Orbital Elements

@article{Gupta2011ShortTermOP, title={Short-Term Orbit Prediction with J 2 and Mean Orbital Elements}, author={Shraddha Gupta and M. X. J. Raj and R. Sharma}, journal={International Journal of Astronomy and Astrophysics}, year={2011}, volume={01}, pages={135-146} }

An analytical theory for calculating perturbations of the orbital elements of a satellite due to J2 to accuracy up to fourth power in eccentricity is developed. It is observed that there is significant improvement in all the orbital elements with the present theory over second-order theory. The theory is used for computing the mean orbital elements, which are found to be more accurate than provided by Bhatnagar and taqvi’s theory (up to second power in eccentricity). Mean elements have a large… Expand

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#### References

SHOWING 1-10 OF 14 REFERENCES

A second-order satellite orbit theory, with compact results in cylindrical coordinates

- Physics
- Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- 1981

First-order perturbations of a low-eccentricity satellite orbit due to the general harmonic coefficient J1m of the Earth’s gravitational field are derived, and compactly expressed (see equations… Expand

Third-order solution of an artificial-satellite theory

- Physics
- 1977

A third-order solution is developed for the motions of artificial satellites moving in the gravitational field of the Earth, whose potential includes the second-, third-, and fourth-order zonal… Expand

Motion of an artificial earth satellite in an orbit of small eccentricity

- Mathematics
- 1964

The subject of this paper is the calculation of perturbations of the elements of near-circular earth satellite orbits Literal expressions are found for calculating first-order perturbations to an… Expand

THE MAIN PROBLEM OF SATELLITE THEORY FOR SMALL ECCENTRICITIES

- Mathematics
- 1969

Abstract : Perturbation techniques based on Lie transforms as suggested by Deprit were used as the theoretical foundation for programming the analytical solution of the Main Problem in Satellite… Expand

Satellite Motion about an Oblate Earth

- Physics
- 1974

A general theory of the method of averaging is used to study the effect of the Earth's oblateness on the motion of an artificial satellite. The first-order harmonic J2 and the second-order harmonics… Expand

On the generation of satellite position (and velocity) by a mixed analytical-numerical procedure

- Physics
- 1981

Abstract The generation of accurate Earth-satellite ephemerides by numerical integration, over a period of perhaps weeks, can consume an inordinate amount of computer time. No satisfactory purely… Expand

Long-term orbit computations with KS uniformly regular canonical elements with oblateness

- Mathematics
- 1988

This paper concerns with the study of KS uniformly regular canonical elements with Earth's oblateness. These elements, ten in number, are all constant in the unperturbed motion and even in the… Expand

A second-order artificial satellite theory based on an intermediate orbit

- Physics
- 1970

Oblate planet artificial satellite motion, obtaining secular and periodic perturbations to third and second order