GG (Galileo Galilei) Test of the Equivalence Principle to 10
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GG (G alileo G alilei) Test of the Equivalence Principle to 10 -17 Results from industrial study and state of the art Anna M Nobili, Dipartimento di Fisica “E. Fermi” Universita’ di Pisa & INFN, Pisa – Italia Q2C4, Bremen 21-24 September 2009
GG (Galileo Galilei) Test of the Equivalence Principle to 10
Microsoft PowerPoint - GG Bremen Sept2009.pptGG (Galileo Galilei)
Test of the Equivalence Principle to 10-17
Results from industrial study and state of the art
Anna M Nobili, Dipartimento di Fisica “E. Fermi” Universita’ di
Pisa & INFN, Pisa – Italia
Q2C4, Bremen 21-24 September 2009
Some newsSome news
• GG Phase A-2 Study led by TAS-I in Torino, ASI funded: Drag Free
Control & GG space experiment simulator based on GOCE expertise
of TAS-I Torino team (assume VEGA launcher)
• GGG lab & experiment basic funds from INFN-CSNII as a
national experiment
• Additional ASI contribution to GGG: for new vacuum chamber and
new instrument too improve GGG sensitivity +
• TAS-I (Torino) to contribute a “GGG Experiment Simulator” also
based on heritage from GOCE, to be compared with GGG measurement
data (“Remote Ground Test”)
TAS-I is prepared to complete GG in 4 yrs from start of Phase B for
a total cost of: 70 M€ (everything included except the cost of
launch with VEGA)
Expression of interest from JPL to particpate in GG by contributing
to the payload
State of the art (I)State of the art (I)
E. Fischbach et al.: “Reanalysis of the Eötvös Experiment” PRL
1986
(-0.2 ± 2.8)x10-12Be − Al
Eöt-Wash, PRL 2008
Eöt-Wash, PRL 1999
(-1.9 ± 2.5)x10-12Be − Cu
Eöt-Wash, PRD 1994
(-0.3 ± 0.9)x10-12Al − PtSunTorsion balance. 8TMs. Not rotating.
24hr modulation by Earth rotation
Braginsky & Panov JETP 1972
Torsion balance. Not rotating. No signal modulation
Roll, Krotkov & Dicke Ann. Phys. 1964
Eötvös et al. ≈1900 collected in Ann. Phys. 1922
a a≡ η
EarthCold atoms droppingFray et al with T. Hänsch., PRL 2004
10-9g measurement with cold atoms (Cs) Peters, Chung & Chu,
Nature 1999
a a≡ η
Target: 10-15
10-16 (10-17)
85Rb & 87Rb
State of the art (II)State of the art (II)
Ongoing
Differ by 2 neutrons only!!!
Satellite, orbit and the VEGA launcher Satellite, orbit and the
VEGA launcher
To fly in near circular near equatorial orbit
GG satellite in the bay of VEGA (Kourou launch site)
2.2 m ~600 km altitude
Passive attitude stabilization by 1-axis rotation at 1 Hz
550 kg total mass (with 20% margin) of which ; 100kg launch
adapter, 80 kg payload)
Drag Free Control around orbit frequency
To be operated from Italian station in Malindi (Kenya)
1 yr nominal mission duration (up to 3 yr)
1.6 m
GG differential accelerometer (I)GG differential accelerometer
(I)
NOTE: We do not fly a vacuum chamber (use venting to space
instead..)
GG differential accelerometer (II)GG differential accelerometer
(II)
A second accelerometer has been designed could be accommodated:,
same composition test cylinders (for zero check) CONCENTRIC with
the EP violation one... There is only one center of mass of the
spacecraft!! Only the EP accelerometer will fly: • Once you reach
the target sensitivity (TMs relative displacements of 0.5 pm), the
signature of an EP violation
signal in the field of the Earth is well known and so far we have
found no perturbation with the same signature competing with it to
the level of GG target
• TMs material choice to maximize physical chance of
violation…
Test masses material choice in GG (I)Test masses material choice in
GG (I)
Co-rotation makes many disturbing effects DC. Test masses do not
need to be manufactured to very high precision => More freedom
in the choice of materials to maximize chance of EP violation and
significance of test
EP violation not expected to depend on macroscopic properties of
matter (density, chemical, mechanical, electric or magnetic
characteristics)
/ / /zB L Iµ µ µ
Barion number, Lepton number and z component of Isospin (normalized
to mass in unit of the mass of H atom) have been identified
(Fischbach & Talmadge, 1998)
=> choose test masses materials so as to maximize difference in
all 3 these properties!
Test masses material choice in GG (II)Test masses material choice
in GG (II)
Figure adapted (CH2 added) from : E. Fischbach, C. L. Talmadge:
“The Search for Non- Newtonian Gravity; Springer- Verlag, New York,
1998.
Test masses material choice in GG (III)Test masses material choice
in GG (III)
HDPE (High Density Polyethylene) identified – to be tested in GGG
(has interesting side consequences.. Not conductive, capacitance
read-out possible without capacitance plates in between test
cylinders … differential by definition .. )
GG lock/unlock mechanismsGG lock/unlock mechanisms
Lock/unlock of inner test cylinder
1. Mechanical stops
3. Fine lock/unlock (inch-worm actuators)
“bunny ear” lock/unlock of coupling arm
Designed by DTM Technologies (Ferrari)
GG EP violation signal recoveryGG EP violation signal
recovery
EP violation signal after demodulation (from 1Hz rotation)
Drivers and requirements: some numbers (I)Drivers and requirements:
some numbers (I)
Drivers and requirements: some Drivers and requirements: some
numbers (II)numbers (II)
Drivers and requirements: some numbers (III)Drivers and
requirements: some numbers (III)
Drivers and requirements: some numbers (IV)Drivers and
requirements: some numbers (IV)
Drivers and requirements: some numbers (V)Drivers and requirements:
some numbers (V)
Drivers and requirements: some numbers (VI)Drivers and
requirements: some numbers (VI)
…passive MLI sufficient
Electric charging & patch effects:
• passive electric grounding of the test masses • co-rotation of
the test masses and the capacitance transdusers (make patch
effects
DC or slowly varying if they do slowly vary.. .as they do…) • gold
coating • direct measurement of the effects of any patches of
charges on test masses, as we
have done in GGG (see later..)
Error budget (I)Error budget (I)
How it is built
Run GG Simulator
Single out systematic effects and check their magnitude and
signature
Error budget (II)Error budget (II)
A simulator in the lab: A simulator in the lab: ““GG on the Ground
(GGG)GG on the Ground (GGG)””
GGG lab at INFN Pisa-San Piero a Grado
Same number of degrees of freedom; same dynamical properties;
position of relative equilibrium of the test masses in the
horizontal plane is NOT stabilized by local gravity (as it should
be as a test of experiment in space…)
GGG sensitivity: major improvements (I)GGG sensitivity: major
improvements (I)
FFT of relative displacements of GGG test cylinders in the
horizontal, not rotating, plane of lab
GGG sensitivity: major improvements (II)GGG sensitivity: major
improvements (II)
PSD of relative displacements of GGG test cylinders in the
horizontal, not rotating, plane of lab
GGG current sensitivity to EP violation in the field of the SunGGG
current sensitivity to EP violation in the field of the Sun
GGG has measured 6x10-9 m at diurnal frequency with coupling period
of 13 s =>
ηsun~2.3x10-7
Limited by terrain tilts: apparatus not suspended, active tilt
control only. Main issue: tilt sensors dependence on
temperature
sGGGsGGG (suspended GGG) (suspended GGG) -- ASI funds (I)ASI funds
(I)
New chamber has the right symmetry and has been designed to
minimize disturbances on GGG
sGGG will be suspended inside chamber by cardanic joint (not
rotating) to reduce low frequency terrain tilts passively, in
addition to active tilt control now in use (Note: active tilt
control is limited by thermal effects on tilt sensor and requires
good thermal stabilization to be effective)
An Experiment Simulator will be built by Thales Alenia Space-Italy
for the new GGG, similarly to the Simulator built for the space
experiment, to be compared with experimental measurements …
New chamber + new rotor (under completion)
sGGGsGGG (suspended GGG) (suspended GGG) –– ASI funds (II)ASI funds
(II)
• With the cardanic suspension already manufactured we expect a
terrain tilt reduction at low frequencies by about 5000 (exploit
lever effect…)
• With active terrain tilt control (+thermal stabilization) plus
passive attenuation we expect to detect 1 pm displacements (GG
target is 0.5 pm) i.e., with current natural test masses period of
13 s: => ηsun~4x10-11
Longer natural period possible (sensitivity would increasse
quadratically..) but shall we encounter the motor ball bearings
noise???
Thermal stability in new chamberThermal stability in new
chamber
Thermal stability of tiltmeter inside chamber (multi stage thermal
control): to a few tenths of mdeg down at diurnal frequency
(requires 20 mW only)
A better A better tiltmetertiltmeter to improve active tilt
control?to improve active tilt control?
Double pendulum (one simple + one inverted, aligned, coupled by
tiny cantilever), based on knife edge suspensions.
Capacitance transducer with ad hoc electronic board developed in
the lab based on the AD7745 24 bit capacitance to digital converter
capable to measure up to 4 picoFarad to a few tenths of femtoFarad.
No additional electronics is needed outside the vacuum chamber;
data are transferred to the computer outside via USB port.
Designed to reach 100 s period (equivalent to a simple pendulum
2500 m long!!!) .. Extremely sensitive…
On first tests (only rough adjustment of period and alignment) we
have measured 34.8 s period (equivalent to a 300 m simple
pendulum..)
MeasurementMeasurement of of electricelectric patchpatch
effectseffects (I)(I)
Apply a force to the external test cylinder with a capacitance
plate (both grounded)
Since outer and inner test cylinders are coupled, they will move
relative to each other
Their differential motion is measured by the capacitance bridges
(main sensors) located in between the test cylinders
MeasurementMeasurement of of electricelectric patchpatch
effectseffects (II)(II) 2
2 =V
Charge changes sign with applied potential, patch charge does
not!
First, apply unipolar potential and measure effect on TMs; then
switch to bipolar potential and measure effect on TMs (square wave
with same period…)
0.75 0.18
2 ± ≡ =V patch
0.0275 0.006
q Vdisplacement displacement Q V
by measuring the displacements in the two cases we measure Vpatch
…
From these measurements:
(Plate made of Al like test cylinders, no gold coating…. )
MeasurementMeasurement of of electricelectric patchpatch
effectseffects (III)(III) • No modeling needed, very meat
measurement
4 /applied patchV V
Note: the effect of the patch, in addition to being brought to the
frequency of the applied potential is also amplified by the
factor:
• You measure directly the effect of patch charges on the tests
masses • We have done with GGG spinning for 10.6 d, to measure time
variation of patch effect
amplitude….
Here it is about 500
⇒ the effect of patch charges (no coating at all) on GGG test
masses, close to diurnal frequency is a few picometers
(GG target requires to measure 0.5 picometer)
““Galileo Galileo GalileiGalilei (GG)(GG)””
GG undergoing Phase A-2 Study by ASI (Agenzia Spaziale Italiana)
Preliminary (April 2009) Report available on the Web:
http://eotvos.dm.unipi.it/PA2