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Q&A How would an interstellar spaceship's speedometer work if everything else is moving?

I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result. For inputs, may I recommend - a calculation of doppler s...

posted 2y ago by James McLellan‭  ·  edited 2y ago by James McLellan‭

Answer
#7: Post edited by user avatar James McLellan‭ · 2022-11-25T11:39:59Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for Lorentz length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catalog. Then calculate the redshift or blueshift. It accounts for Lorentz length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#6: Post edited by user avatar James McLellan‭ · 2022-11-25T11:39:17Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for Lorentz length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#5: Post edited by user avatar James McLellan‭ · 2022-11-25T11:38:13Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#4: Post edited by user avatar James McLellan‭ · 2022-11-25T11:37:06Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • * doppler shift of one or more known radio emitters back home.
  • * parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • * change in radio distance to receiver, if you are flying through a region with that kind of infrastructure.
  • * parallax shift of nearby stars
  • * dead reckoning (compounded accelerometer over time). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • - doppler shift of one or more known radio emitters back home.
  • - parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • - change in radio distance to receiver over time, if you are flying through a region with that kind of infrastructure.
  • - parallax shift of nearby stars
  • - dead reckoning (compounded accelerometer over time, and fuel burn). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#3: Post edited by user avatar James McLellan‭ · 2022-11-25T11:36:12Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • * a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • * doppler shift of one or more known radio emitters back home.
  • * parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • * radio distance to receiver, if you are flying through a region with that kind of infrastructure.
  • * parallax shift of nearby stars
  • * dead reckoning (compounded accelerometer over time). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • - a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • * doppler shift of one or more known radio emitters back home.
  • * parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • * change in radio distance to receiver, if you are flying through a region with that kind of infrastructure.
  • * parallax shift of nearby stars
  • * dead reckoning (compounded accelerometer over time). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#2: Post edited by user avatar James McLellan‭ · 2022-11-24T20:01:14Z (about 2 years ago)
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • * a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • * doppler shift of one or more known radio emitters back home.
  • * parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • * radio distance to receiver, if you are flying through a region with that kind of infrastructure.
  • * parallax shift of nearby stars
  • * dead reckoning (compounded accelerometer over time), fuel burn
  • I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.
  • For inputs, may I recommend -
  • * a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.
  • * doppler shift of one or more known radio emitters back home.
  • * parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture
  • * radio distance to receiver, if you are flying through a region with that kind of infrastructure.
  • * parallax shift of nearby stars
  • * dead reckoning (compounded accelerometer over time). This will work better at low velocities where doppler shift is small. This also may be your only way to measure at faster than light speeds, if some sort of superluminal shock wave makes seeing the outside impossible.
#1: Initial revision by user avatar James McLellan‭ · 2022-11-24T19:56:08Z (about 2 years ago)
I'd recommend a Kalman filter to increase measurement accuracy to the overlap of multiple system errors so that you get the best result.

For inputs, may I recommend -

* a calculation of doppler shift for known stars. You can do this realtime. Take a fast fourier transform of the incoming light for that star, and compare it to a catelog. Then calculate the redshift or blueshift. It accounts for length contraction. And the measurement precision increases as you approach the speed of light.

* doppler shift of one or more known radio emitters back home.

* parallax shift of pre-positioned radio emitters, if you are flying in an area that has that kind of infrastruture

* radio distance to receiver, if you are flying through a region with that kind of infrastructure.

* parallax shift of nearby stars

* dead reckoning (compounded accelerometer over time), fuel burn