Estimating Month Length - Tips from Owen

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Estimating the length of a month can be approached by considering the synodic month, which is approximately 29.53 days. This measurement is tied to the lunar cycle and reflects the time it takes for the Moon to return to the same phase. To calculate the total seconds in a month, one can multiply the number of days by 86,400, the number of seconds in a day. The discussion highlights the need for clarity in the question posed, as different types of months exist. Understanding the relationship between the Moon's orbit and the gravitational field of Earth is also relevant to this estimation.
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Probably a very simple question, but my lecturer has asked me to estimate the length of a month.

Any tips on how to do this, because I'm kinda flummoxed :)

Thanks in advance,
Owen.
 
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Length as in measure the distance traveled by Earth during a particular month?
 
There are different kinds of months. Most likely you're talking about the synodic month which is about 29.530588853 days or 29 & 928 / 1749 days.
 
Either the question is too simple to bother with or too vague to have a definite direction.
 
Ok, I probably should have gone into more depth, even though I was asked simply: "Estimate the length of the month"

I was first asked to prove the equation of the gravitational field of the Earth = to the moons orbit (g[m).

Then I was asked to estimate the value of g[m

final question was to estimate the length of the month, its 4 marks, yet all i can think on is that its approx. 30 days, multiply by 86400 for the amount of seconds in a day...

It must have something to do with the moon, but I'm unsure how

Thanks again,
Owen.
 
Yeah I think you need to calculate the Synodic period.
 
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