Steve, I have no idea nor any valid hypotheses on the influence of astral and causal stars and planets on our material universe. Probably, it's too deep of a metaphysical concept to be understood by any other than Sri Yukteswar.
“You have read in the scriptures,” Master went on, “that God encased the human soul successively in three bodies — the idea, or causal, body; the subtle astral body, seat of man’s mental and emotional natures; and the gross physical body. On earth a man is equipped with his physical senses. An astral being works with his consciousness and feelings and a body made of lifetrons. A causal-bodied being remains in the blissful realm of ideas. My work is with those astral beings who are preparing to enter the causal world.”
I am by no means saying that I’m an expert on the subject. We are told that what happens here in the material universe originates from thought in the causal realm and becomes manifest in a more tangible reality in the astral realm. Many inspirational musical ideas and sounds are heard and are coming through to the physical realm from the astral universe. No doubt there are also beings that are able to communicate and manifest through certain humans who are receptive to their presence as I have witnessed in my life.
I know this to be true because I heard astral music as a young man, at times I found it distracting from meditation. Still the source of inspiration that I connect with and channel from is from the astral realm. I find there are many angelic beings from the astral realm waiting to help us if we are persistent about their help and have faith in them. So I would not see it to far fetched to also think that some of the astral stars and moons, being astral presences, are also affective in their influence on us as physical stars and moons are as well. Yes no doubt it would take a high spiritual presence to know just which ones are affecting us and how they are doing so. I would imagine that this will come to pass in the higher ages as more and more of the physical realm will be opened up to the influences of higher realms in the general public.
“On earth a man is equipped with his physical senses. An astral being works with his consciousness and feelings and a body made of lifetrons. A causal-bodied being remains in the blissful realm of ideas.” ~Sri Yukteswar