Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://lnfm1.sai.msu.ru/grav/russian/life/chteniya/sagi2007/turyshev_Anomaly.pdf Äàòà èçìåíåíèÿ: Mon Feb 12 12:56:34 2007 Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 23:42:45 2012 Êîäèðîâêà: Ïîèñêîâûå ñëîâà: arp 220

THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

The Pioneer Anomaly:
Effect, New Data and New Investigation

Slava G. Turyshev Jet Propulsion Laboratory, California Institute of Technology

Seminar at the Sternberg Astronomical Institute Moscow State University, Moscow, 6 February 2007

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Conclusions & Outline:
Anomalous acceleration of the Pioneers 10 and 11: A line-of-sight constant acceleration toward the Sun:
­ We find no mechanism or theory that explains the anomaly ­ Most plausible cause is systematics, yet to be demonstrated
Phys. Rev. D 65 (2002) 082004, gr-qc/0104064

Possible Origin?
Conventional Physics [not yet understood]:
­ Gas leaks, thermal mechanism, drag force, etc...

New Physics [many proposals exist, some interesting] A "win-win" situation ­ both possibilities are important:
­ CONVENTIONAL explanation: i) confirmation of the Newton's 1/r2 gravity law in the outer solar system, ii) improvement of spacecraft engineering for precise navigation & attitude control, or ­ NEW physics: would be truly remarkable...
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The Pioneer 10/11 spacecraft

Pioneer 10: pre-launch testing

The Pioneers are still the most precisely navigated deep-space vehicles:
­ ­ Spin-stabilization and design permitted acceleration sensitivity ~10-10 m/s2, unlike a Voyager-type 3-axis stabilization that were almost 50 times worse; Precision celestial mechanics ­ a primary objective of the Pioneers' extended missions ­ search for gravitational waves, Planet X, trans-Neptunian objects, etc.


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Pioneer 10 Launch: 2 March 1972

Pioneer 10 Launch: 2 March 1972


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Pioneers 10 and 11: Main Missions
Pioneer 10

Pioneer 11

Trajectories of Pioneer 10 & 11 during the main mission phase


THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

Trajectories of Pioneers and Voyagers
Last signal from Pioneer 10 was received on 23 January 2003 (82.1 AU from the Sun) Pioneer 10 last contacted in March 2006: no signal received

Pioneer 10 on 6 February 2007:
Distance from the Sun Position, SE (lat., lon.) Heliocentric velocity Distance from Earth Round-Trip Light Time 92.12 AU (3.0º,78.2º) 12.07 km/s 13.68 Gkm 25 hr 26 min

Trajectories of Pioneers:
­ ­ Elliptical (bound) orbits before the last fly-by; Hyperbolic (escape) orbits after the last fly-by

Trajectories of Pioneer and Voyager spacecraft, as seen from north ecliptic pole.


THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

Detection of the Effect and Earlier Studies
1979: search for unmodeled accelerations w/ Pioneers began:
­ Motivation: Planet X; initiated when Pioneer 10 was at 20 AU; ­ Solar-radiation pressure away from the Sun became < 5 â 10-10 m/s
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1980: navigational anomaly first detected at JPL:
­ The biggest systematic error in the acceleration residuals ­ a constant bias of (8 ± 3) â 10-10 m/s2 directed towards the Sun

Initial JPL-ODP analysis in 1990-95:
­ NO ­ The

PRL 81(1998) 2858-2861, gr-qc/9808081

(8.09 ± 0.20) â 10-10 m/s2 for Pioneer 10 (8.56 ± 0.15) â 10-10 m/s2 for Pioneer 11 magnitude variation with distance over a range of 40 to 70 AU error is from a batch-sequential & filter-smoothing algorithm

An Error in JPL's ODP? - Numerous internal checks at JPL NASA Grant to The Aerospace Corporation: 1996-1998 Data used for the Analysis (1996-1998): Pioneer 10: 11.5 years; distance = 40-70.5 AU 20,055 data points Pioneer 11: 3.75 years; distance = 22.4-31.7 AU 19,198 data points
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The Observed Anomalous Doppler Drift
Phys. Rev. D 65 (2002) 082004, gr-qc/0104064

The two-way Doppler anomaly to first order in (v/c) simply is:

1987

1998.8

The two-way Doppler residuals (observed Doppler velocity minus modeled Doppler velocity) for Pioneer 10 vs time [1 Hz is equivalent to 65 mm/s velocity].


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The Pioneer Anomaly: Quality of Data Fit
Phys. Rev. D 65 (2002) 082004, gr-qc/0104064

1987

1998.8

Adding only one more parameter to the model ­ a constant radial acceleration ­ led to residuals distribution ~zero Doppler velocity with a systematic variation ~3.0 mm/s. Quality of the fit is determined by ratio of residuals to the downlink carrier frequency, f0º 2.29 GHz.


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Analysis by GSFC (Markwardt, 2002)

arXiv:gr-qc/0208046

Doppler residuals as a function of time of the best fit model.


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Modeling of Spacecraft Motion
Relativistic eq.m. for celestial bodies are correct to (v/c)4:
­ Relativistic gravitational accelerations (EIH model) include: Sun, Moon, 9 planets are point masses in isotropic, PPN, N-body metric; ­ Newtonian gravity from large asteroids; terrestrial, lunar figure effects; Earth tides; lunar physical librations.

Relativistic models for light propagation are correct to (v/c)
­ Solar radiation and wind pressure; the interplanetary media;

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Model accounts for many sources of non-grav. forces, including:
­ Attitude-control propulsive maneuvers and propellant (gas) leakage from the propulsion system; ­ Torques produced by above mentioned forces; ­ DSN antennae contributions to the spacecraft radio tracking data.

Orbit determination procedure, includes:
­ Models of precession, nutation, sidereal rotation, polar motion, tidal effects, and tectonic plates drift; ­ Model values of the tidal deceleration, non-uniformity of rotation, polar motion, Love numbers, and Chandler wobble are obtained observationally via LLR, SLR and VLBI (from ICRF).
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Sources of Systematic Error: External

Phys. Rev. D 65 (2002) 082004, gr-qc/0104064

IJMP A 17 (2002) 875-885, gr-qc/0107022

An interesting set of error sources, but not of a major concern!
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The Pioneer 10/11 Spacecraft

A drawing of the Pioneer spacecraft


THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

On-board Power and Heat

Thermal system and on-board power:

Design based on well understood process of on-board nuclear-toelectric energy conversion and heat dissipation within the craft
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Sources of Systematic Error: On-board

Heat is an important source, but:
­ It is NOT strong enough to explain the anomaly; ­ Exponential decay / linear decrease ­ NOT seen 1987 [97 W] ~32.8% reduction 1998.8 [65 W] 2001


THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

Focus of the 1995-2002 Analysis
­ On-board systematic & other hardware-related mechanisms:
Precessional attitude control maneuvers and associated "gas leaks" Nominal thermal radiation due to
238

Pu decay [half life 87.75 years]

Heat rejection mechanisms from within the spacecraft Hardware problems at the DSN tracking stations

­ Examples of the external effects (used GLL, ULY, and Cassini):
Solar radiation pressure, solar wind, interplanetary medium, dust Viscous drag force due to mass distribution in the outer solar system Gravity from the Kuiper belt; gravity from the Galaxy Gravity from Dark Matter distributed in halo around the solar system Errors in the planetary ephemeris, in the Earth's Orientation, precession, polar motion, and nutation parameters

­ Phenomenological time models:
Drifting clocks, quadratic time augmentation, uniform carrier frequency drift, effect due to finite speed of gravity, and many others

­ All the above were rejected as explanations Most of the systematics are time or/and space dependent!
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The Pioneer Anomaly: Summary
Phys. Rev. D 65 (2002) 082004, gr-qc/0104064

By 2007 the presence of the anomaly in the data (same data as in Anderson et al., 2002) confirmed by five codes:
­ ­ ­ ­ ­ JPL Orbit Determination Program [various generations for 1979-2001]; The Aerospace Corporation code POEAS [during period of 1995-2001]; Goddard Space Flight Center conducted a study in 2003 [data from NSSDC]; Institute for Theoretical Astronomy, Norway, Oslo [2002-2006]; Viktor Toth, Canada [2005-2006].

The observed frequency drift can be interpreted as an acceleration of This interpretation has become known as the Pioneer Anomaly:
­ Constant acceleration of the spacecraft toward the Sun...

Observation
­

, stimulated many suggestions.... examples:

Kinematical realization of local cosmological frame; momentum-dependent gravitational coupling; modified inertia; non-uniformly-coupled scalar field(s); Brane-worlds; higher-dimensional gravitational models...

Primary focus of newly started analysis: "the heat or not the heat?" Existence of the signal is confirmed, its origin is yet unknown
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Recent Pioneer Doppler Data Recovery Effort
Data used for the Analysis (1996-1998): Pioneer 10: 11.5 years; distance = 40-70.5 AU 20,055 data points Pioneer 11: 3.75 years; distance = 22.4-31.7 AU 19,198 data points Pioneer 10/11 Doppler Data available (January 2007): Pioneer 10: ­ 1973-2002: ~30 years ­ ­ ­ ­ ­ Distance range: 4-87 AU Jupiter encounter ~95,000 data points, ~20GB Maneuvers, spin, initial cond. All telemetry is available Pioneer 11: ­ 1974-1994: ~ 20 years ­ ­ ­ ­ ­ Distance range: 1-33 AU Jupiter & Saturn encounters ~65,000 data points, ~15GB Maneuvers, spin, initial cond. All telemetry is available

Planning for the upcoming data analysis: ­ After initial certification at JPL, both datasets will be made available ­ NASA supports the investigation ­ critical for the entire effort ­ The Planetary Society ­ good but insufficient for serious work ­ ZARM, Germany: received funding, started analysis of old data ­ French group funded by CNES is also planning for analysis The on-going Pioneer data analysis is planned as an international effort
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9-track Magnetic Tapes...
Somewhere in JPL...

Statistics: ~400 tapes... 90 minutes / tape

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Critical Phases of the Proposed Experiment
IJMPD 16 (2006) 1, gr-qc/0512121 CQG 21 (2004) 4005, gr-qc/0308017

2 4

1

3

Four Main Objectives:
­ Analysis of the early trajectory:
Direction of the anomaly: origin

­ Analysis of Jupiter encounter:
Should tell more about the onset of the anomaly (e.g. Pioneer 11)

v
­ ­ ­ ­

­ Analysis of the entire dataset:
Temporal evolution of the anomaly

Towards the Sun: gravitational models? Towards the Earth: frequency standards? Along the velocity vector: drag or inertia? Along the spin axis: internal systematics?

­ Focus on on-board systematics:
Thermal modeling using telemetry


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Difference Between Bound & Un-Bound Orbits?
Navigational Anomalies during Earth fly-byes were observed with multiple spacecraft:
­ Galileo: #1 on 10/8/1990 @ altitude of ~960 km; #2 on 12/8/1992 @ altitude of ~305 km; ­ NEAR: 01/22/1998 @ altitude of ~550 km; ­ Cassini: 08/19/1999 @ altitude of ~1,171 km; ­ Stardust: 01/15/2001 @ altitude of ~6,000 km; ­ Rosetta: 03/04/2005 @ altitude of ~1,900 km.

Are they relevant to the Pioneer anomaly?

A plot of early unmodeled accelerations of Pioneer 10 (1981-1989), Pioneer 11 (1977-1989)


THE STUDY OF THE PIONEER ANOMALY THE STUDY OF THE PIONEER ANOMALY

Conclusions and Next Steps
As of late 2006 new data is available, both Doppler and telemetry Primary effort in on the analysis of the extended Doppler dataset
­ To determine true direction of the anomaly and its behavior as a function of distance from the Sun Ideal tool for future analysis Capable of examining all heliocentric distances and off-sun angles Capable of identifying anisotropic thermal contributions of individual spacecraft subsystems Quantify anisotropic contributions from individual sources such as the RTGs, louvers, and HGA. Calculate anisotropic thermal emission from Pioneer spacecraft at different heliocentric distances and off-sun angles. Sensitivity analysis as a function of varying optical properties Analysis of early Pioneer 11 Doppler data Combined analysis of Doppler and telemetry data http://www.issibern.ch/teams/Pioneer/
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High fidelity Thermal Model of the Pioneers is available
­ ­ ­

Upcoming efforts in thermal analysis:
­ ­ ­ ­ ­ ­

Next Steps: focus on the anomaly:

More information at:


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One "data point"... we need more!

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