Spacecraft clocks and General Relativity

Transcription

1 Raymond Angélil Prasenjit Saha May 22, 2013

2 Clocks in space - nothing new universe s expansion history stellar composition binary neutron star orbit determination galaxy rotation curves exoplanet discovery

3 Clocks in space - nothing new universe s expansion history stellar composition binary neutron star orbit determination galaxy rotation curves exoplanet discovery all rely on clocks in space! Natural clocks include

4 Clocks in space - nothing new universe s expansion history stellar composition binary neutron star orbit determination galaxy rotation curves exoplanet discovery all rely on clocks in space! Natural clocks include Pulsars Stellar spectral lines All made possible through frequency shifts due to special relativity.

5 artificial clock STE-quest STE-quest falls through space-time, tracing out a 4D world-line ticks emitted at equal proper time intervals; received by observer

6 40 arrival time [hours] tick count

7 40 arrival time [hours] tick count

8 40 arrival time [hours] tick count

9 40 arrival time [hours] tick count

10 40 arrival time [hours] tick count

11 40 arrival time [hours] tick count

12 0.20 arrival - emitted times [seconds] tick count

13 redshift dt a dt e

14 redshift dt a dt e 1

15 redshift dt a dt e 1 redshift

16 redshift dt a dt e 1 redshift redshift ticks ticks

17 gravitational time dilation Known from GPS. STE-quest aims for 10 7 redshift determination t [seconds] redshift without time dilation

18 gravitational time dilation Known from GPS. STE-quest aims for 10 7 redshift determination t [seconds] redshift with time dilation without time dilation

19 gravitational time dilation Known from GPS. STE-quest aims for 10 7 determination e t with t without [seconds] redshift with redshift without

20 space-curvature on orbit mercury-like precession 1.5 1e 8 1e 11 3 t with t without [seconds] redshift with redshift without

21 space-curvature on signals shapiro delay 1e 11 1e t with t without [seconds] redshift with redshift without

22 frame-dragging on orbit measured by gravity-probe B 2 1e 10 1e t with t without [seconds] redshift with redshift without

23 frame-dragging on signals never measured before 1e 15 1e t with t without [seconds] redshift with redshift without

24 spin 2 -effects on orbit never measured before 1e 13 1e t with t without [seconds] redshift with redshift without

25 spin 2 -effects on signals never measured before 1e 15 1e t with t without [seconds] 4 3 redshift with redshift without

26 all signals all signals together t with t without [seconds] time dilation space curvature frame-dragging spin-squared on orbit on signals redshift with redshift without

27 all signals STE-quest aims for 10 7 time-dilation measurement t with t without [seconds] time dilation space curvature frame-dragging spin-squared on orbit on signals redshift with redshift without STE-quest design specification

28 STE-quest is super STE-quest will simultaneously test all geodesic tests of relativity ever carried out could even resolve spin 2 -effects prospects improve if more orbits are considered performance depends on handling of the systematics

29 STE-quest is super STE-quest will simultaneously test all geodesic tests of relativity ever carried out could even resolve spin 2 -effects prospects improve if more orbits are considered performance depends on handling of the systematics

30 STE-quest is super STE-quest will simultaneously test all geodesic tests of relativity ever carried out could even resolve spin 2 -effects prospects improve if more orbits are considered performance depends on handling of the systematics

31 STE-quest is super STE-quest will simultaneously test all geodesic tests of relativity ever carried out could even resolve spin 2 -effects prospects improve if more orbits are considered performance depends on handling of the systematics

32 STE-quest is super STE-quest will simultaneously test all geodesic tests of relativity ever carried out could even resolve spin 2 -effects prospects improve if more orbits are considered performance depends on handling of the systematics

33 t with t without [seconds] time dilation space curvature frame-dragging spin-squared on orbit on signals redshift with redshift without STE-quest design specification