Optical Clocks for Gravity Field Observation and Geodetic Applications

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Hu
 
Wu
,
 
Jürgen Müller, 
Annike Knabe 
Institut
 
für Erdmessung (IfE), Hannover
EGU
 
Generally
 
Assembly
  
May
 
4-8
, 
2020
O
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1
2
Space-to-ground
 
clock
 
comparison
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1
3
One-month
 
GRACE
satellite
 
A
 
orbit
(January
 
2006)
@
 
~475
 
km
sampling rate: 5 s
Degree-error
 
RMS
 
in
 
geoid
 
height
C
l
o
c
k
 
e
r
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o
n
l
y
4
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2
Space-to-space
 
clock
 
comparison
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2
5
One-month
 
GRACE
satellite
 
A
 
&
 
B
 
orbit
(January
 
2006)
@
 
~475
 
km
sampling rate: 5 s
Degree-error
 
RMS
 
in
 
geoid
 
height
C
l
o
c
k
 
e
r
r
o
r
 
o
n
l
y
M
a
s
s
 
l
o
s
s
 
i
n
 
G
r
e
e
n
l
a
n
d
6
Clocks
 
can
 
detect
 
the
 
mass
 
loss
 
in
some
 
areas.
 
Being
 
complementary
to
 
GRACE,
 
clocks
 
provide:
point-wise
 
and
 
high
-frequency 
sampling
 
obs.
 
H
e
i
g
h
t
 
s
y
s
t
e
m
 
u
n
i
f
i
c
a
t
i
o
n
7
Clocks
 
are
 
powerful
 
in
 
obtaining
 
height
 
differences
 
between
 
distant
 
points.
This
 
makes
 
them
 
a
ppropriate
 
for
 
height
 
system unification,
 
by
 
identifying:
discrepancies (offsets)
 
between
 
different
 
height
 
datums;
systematic
 
distortions
 
of
 
national/regional
 
levelling
 
networks.
S
p
a
c
e
 
g
e
o
d
e
t
i
c
 
r
e
f
e
r
e
n
c
e
 
f
r
a
m
e
8
 
 
Gravity potential at different altitudes
 
Gravity
 
field
 
above
 
the
 
equator
 
at
 
different
 
altitudes
S
p
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g
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9
Clocks
 
in higher orbits 
support
 realiz
ing
 
a
 
global
gravity
 
or
 
height
 
reference
 
system
,
 
which
 
is
:
stable/robust
 
over
 
time;
easy to maintain.
For
 
gravity
 
field
 
determination,
 
clocks:
deliver
 
the
 
gravity
 
potential (difference),
 
which
 
is
 
a
 
scalar
quantity
 
and
 
robust
 
to
 
attitude
 
errors;
are assumed for space gravimetric obsevations in two
scenarios, and show the highest sensitivity
 
to
 
low-degree
gravity fiel
d
 
signals.
S
u
m
m
a
r
y
10
 
As
 
further
 
geodetic
 
applications,
 
clocks
 
can:
unify
 
local
 
height
 
systems;
monitor
 
mass
 
changes
 
like
 
in
 
Greenland;
realize
 
a
 
global
 
gravity/height
 
reference
 
system.
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Optical clocks play a crucial role in observing gravity fields and have various geodetic applications. From comparing space-to-ground and space-to-space clocks to detecting mass loss in Greenland, these clocks offer high-frequency sampling data for precise measurements. They also aid in unifying height systems and establishing a global gravity reference frame with stable maintenance over time.

  • Optical Clocks
  • Gravity Observation
  • Geodetic Applications
  • Height System Unification
  • Space Geodesy

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  1. Optical clocks for gravity field observation and further geodetic applications Hu Wu, J rgen M ller, Annike Knabe Institut f r Erdmessung (IfE), Hannover EGU Generally Assembly May 4-8, 2020

  2. Clocks for space gravimetry / Scenario 1 Space-to-ground clock comparison Potential value ? Reference clock LEO satellite Clock 2

  3. Clocks for space gravimetry / Scenario 1 Degree-error RMS in geoid height Clock error only One-month GRACE satellite A orbit (January 2006) @ ~475 km sampling rate: 5 s 3

  4. Clocks for space gravimetry / Scenario 2 Space-to-space clock comparison Potential difference ?? LEO satellite clocks 4

  5. Clocks for space gravimetry / Scenario 2 Degree-error RMS in geoid height Clock error only One-month GRACE satellite A & B orbit (January 2006) @ ~475 km sampling rate: 5 s 5

  6. Mass loss in Greenland B A A A Clock uncertainty: 10-18 B Clocks can detect the mass loss in some areas. Being complementary to GRACE, clocks provide: point-wise and high-frequency sampling obs. 6

  7. Height system unification Clocks are powerful in obtaining height differences between distant points. This makes them appropriate for height system unification, by identifying: discrepancies (offsets) between different height datums; systematic distortions of national/regional levelling networks. 7

  8. Space geodetic reference frame Gravity potential at different altitudes Gravity field above the equator at different altitudes Potential: [m2/s2] 8

  9. Space geodetic reference frame Clocks in higher orbits support realizing a global gravity or height reference system, which is: stable/robust over time; easy to maintain. 9

  10. Summary For gravity field determination, clocks: deliver the gravity potential (difference), which is a scalar quantity and robust to attitude errors; are assumed for space gravimetric obsevations in two scenarios, and show the highest sensitivity to low-degree gravity field signals. As further geodetic applications, clocks can: unify local height systems; monitor mass changes like in Greenland; realize a global gravity/height reference system. 10

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