- #1
DaveC426913
Gold Member
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I'd like a formula that returns the duration of a journey between parts of the solar system assuming a constant acceleration (and deceleration).
Seems to me, simplistically, this is t as a function of a and d. All I need to do is determine the distance between the two points of interest (and then halve that to account for accel/decel), pick a constant acceleration value, and resolve for t.
Assumptions:
- above a certain acceleration (say, 1g), the f of the sun will have a negligible effect on trajectory and thus the duration of the trip.(i.e. trajectories can be treated as mostly straight lines)
- planetary gravity wells will be ignored for now, so start v and stop v are zero. Considering the velocities involved in these trips, planetary orbital velocity is close enough to zero to have small effect on the duration.
Are these safe assumptions?
In H.S. Physics, we learned these rules of motion generally as SAVTU. (s=distance,a=acc,v=init. vel.. etc.) but it seems to have changed its name.
Where will I find these formulae: eg. t as a function of a and d?
Seems to me, simplistically, this is t as a function of a and d. All I need to do is determine the distance between the two points of interest (and then halve that to account for accel/decel), pick a constant acceleration value, and resolve for t.
Assumptions:
- above a certain acceleration (say, 1g), the f of the sun will have a negligible effect on trajectory and thus the duration of the trip.(i.e. trajectories can be treated as mostly straight lines)
- planetary gravity wells will be ignored for now, so start v and stop v are zero. Considering the velocities involved in these trips, planetary orbital velocity is close enough to zero to have small effect on the duration.
Are these safe assumptions?
In H.S. Physics, we learned these rules of motion generally as SAVTU. (s=distance,a=acc,v=init. vel.. etc.) but it seems to have changed its name.
Where will I find these formulae: eg. t as a function of a and d?