Abstract
The secular influence of the time variation of the gravitational constant and solar mass-loss on near-Earth asteroids (NEAs) is examined using the method of celestial mechanics with variable mass and variable gravitational constant. Numerical solutions for the secular variables of the semimajor axes and orbital periods have been given by means of the method of average values for five NEAs. The orbital semimajor axes and periods increase continuously with time. Eccentricities also increase continuously with time. There is no variation in the longitude of perihelion. The results are discussed and conclusions drawn.
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