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Taking into account the oblateness of the Earth with the help of the second zonal harmonic of the potential of the Earth’s gravitational field modifies the integral of the energy of near-Earth motion in comparison with the Keplerian model of analysis. On the basis of this integral, an explicit analytical structure of the change in the main orbital parameter—the Keplerian energy constant—is obtained. This method of taking into account the oblateness of the Earth also makes it possible to estimate the correction, in comparison with the standard unperturbed analysis, in the departure speed of a spacecraft from the near-Earth waiting orbit when flying to the Moon or another planet.

The Influence of the Earth’s Oblateness on the Energy Integral and Some Characteristics of a Spacecraft’s Orbit