So the technical answer is yes – all objects with mass will affect every other object in the universe. So the asteroid will change both the orbit of the moon and the orbit of the Earth (as well as every other object).
The practical answer is no – the asteroid is _so much_ smaller than both the Earth and the Moon that the effects on orbits will likely be too small to even observe.
Apophis has a mass of 61,000,000,000 kgs. Estimated.
The moon has a mass of 73,420,000,000,000,000,000,000 kgs.
That’s 0.000000000083% of the moon’s mass.
No, Apophis is not going to mess up the moon’s orbit. It will interact with it and cause extremely miniscule changes….. but they will be so absolutely tiny that you can basically ignore them.
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