Addendum 3: Of Gravity (The Emails)
Below is what I sent and recieved.
<
Mr. Hall,
Firstly, thank you for your work on putting SpinCalc together. Off and on for a few years I have used it. I do have a question for you.
In terms of projecting a gravity gradient between levels on a multi-level space station or spacecraft do you plan on any future adaptations to SpinCalc?
For example:
By hand I kept the angular velocity the same while decreasing/increasing the Radius of the rotating object.
Starting Level:
Radius: 5280 FT.
Angular Velocity: 0.7454307040118251 Rotations/Minute
Tangential Velocity: 281.02075481805803 Miles/Hour
Centripetal Acceleration: 1 G
Another Level Of The Station/Spacecraft
Radius: 3000 FT.
Angular Velocity: 0.7454307040118251 Rotations/Minute
Tangential Velocity: 159.67088341935118 Miles/Hour
Centripetal Acceleration: 0.5681818181818183 G
I have been piecing this together level by level in 40 FT. radius increments; each level being 20 FT. in height. Yes, it is based on very large station/spacecraft artificial gravity generation. Commensurate with a hollowed out asteroid.
Sincerely,
Jonathon A. Yost
Email: grailltd@yahoo.com
> Firstly, thank you for your work on putting SpinCalc together.
You're welcome. I'm glad that you find it useful.
> By hand I kept the angular velocity the same while decreasing/increasing
> the Radius of the rotating object.
If you hold the angular velocity constant, then the centripetal acceleration
is proportional to the radius. Once you've decided the parameters for one
level, you might find it easier to compute the acceleration for the other
levels with a simple desk calculator or spreadsheet.
> _Starting Level:
> _Radius: 5280 FT.
> Angular Velocity: 0.7454307040118251 Rotations/Minute
> Tangential Velocity: 281.02075481805803 Miles/Hour
> Centripetal Acceleration: 1 G
>
> _Another Level Of The Station/Spacecraft_
> Radius: 3000 FT.
> Angular Velocity: 0.7454307040118251 Rotations/Minute
> Tangential Velocity: 159.67088341935118 Miles/Hour
> Centripetal Acceleration: 0.5681818181818183 G
0.568 g / 1.000 g = 3000 ft / 5280 ft
If you have 1 g at 5280 ft, then the acceleration at radius R will be
(R/5280) g.
I don't have any plans to modify SpinCalc for multiple levels or multiple
parameter values in general.
I am considering to add another section for ground-based or
axially-accelerated environments, to compute the net acceleration (with
centripetal and axial components), and its angle from the axis.
Regards,
--
Ted
<
Mr. Hall,
Firstly, thank you for your work on putting SpinCalc together. Off and on for a few years I have used it. I do have a question for you.
In terms of projecting a gravity gradient between levels on a multi-level space station or spacecraft do you plan on any future adaptations to SpinCalc?
For example:
By hand I kept the angular velocity the same while decreasing/increasing the Radius of the rotating object.
Starting Level:
Radius: 5280 FT.
Angular Velocity: 0.7454307040118251 Rotations/Minute
Tangential Velocity: 281.02075481805803 Miles/Hour
Centripetal Acceleration: 1 G
Another Level Of The Station/Spacecraft
Radius: 3000 FT.
Angular Velocity: 0.7454307040118251 Rotations/Minute
Tangential Velocity: 159.67088341935118 Miles/Hour
Centripetal Acceleration: 0.5681818181818183 G
I have been piecing this together level by level in 40 FT. radius increments; each level being 20 FT. in height. Yes, it is based on very large station/spacecraft artificial gravity generation. Commensurate with a hollowed out asteroid.
Sincerely,
Jonathon A. Yost
Email: grailltd@yahoo.com
> Firstly, thank you for your work on putting SpinCalc together.
You're welcome. I'm glad that you find it useful.
> By hand I kept the angular velocity the same while decreasing/increasing
> the Radius of the rotating object.
If you hold the angular velocity constant, then the centripetal acceleration
is proportional to the radius. Once you've decided the parameters for one
level, you might find it easier to compute the acceleration for the other
levels with a simple desk calculator or spreadsheet.
> _Starting Level:
> _Radius: 5280 FT.
> Angular Velocity: 0.7454307040118251 Rotations/Minute
> Tangential Velocity: 281.02075481805803 Miles/Hour
> Centripetal Acceleration: 1 G
>
> _Another Level Of The Station/Spacecraft_
> Radius: 3000 FT.
> Angular Velocity: 0.7454307040118251 Rotations/Minute
> Tangential Velocity: 159.67088341935118 Miles/Hour
> Centripetal Acceleration: 0.5681818181818183 G
0.568 g / 1.000 g = 3000 ft / 5280 ft
If you have 1 g at 5280 ft, then the acceleration at radius R will be
(R/5280) g.
I don't have any plans to modify SpinCalc for multiple levels or multiple
parameter values in general.
I am considering to add another section for ground-based or
axially-accelerated environments, to compute the net acceleration (with
centripetal and axial components), and its angle from the axis.
Regards,
--
Ted