Space vehicle surface force modelling for orbit prediction (engineering applications) and orbit determination (science programmes)
Submitting Institution
University College LondonUnit of Assessment
Civil and Construction EngineeringSummary Impact Type
TechnologicalResearch Subject Area(s)
Physical Sciences: Astronomical and Space Sciences
Earth Sciences: Geophysics
Engineering: Geomatic Engineering
Summary of the impact
Departmental research led to changes in how radiation forces on several
classes of space vehicle (low earth orbit environmental measurement
satellites and medium earth orbit navigation missions like GPS) are
modelled by two NASA laboratories (Jet Propulsion Laboratory and Goddard
Space Flight Centre). This includes NASA's adoption of a UCL model as an
operational standard for Jason-1, which measured global sea level change
from 2001 to 2013. Jason-1 measurements are a critical component of data
supplied to the Intergovernmental Panel on Climate Change, thereby feeding
into policy formulation seeking to mitigate the effects of climate change
upon the entire population of Earth. The techniques also changed the way
in which GPS satellite orbits are calculated, with products used by many
millions of users.
Underpinning research
Space geodesy uses satellites to measure planet characteristics such as
gravity field, sea level and ice cap variations, and tectonics. Modelling
the forcing effects of radiation (solar, terrestrial and radiation from
the satellites) is important for accurate predictions of GPS (and other)
satellite orbital trajectories. GPS positioning accuracy depends directly
upon our ability to determine, and predict, satellite orbits. Millions of
real-time users rely upon navigation devices decoding messages that
include mathematical models of instantaneous satellite locations — this
relies fundamentally upon accurate satellite force models. Put another
way, mis-modelling satellite motion introduces errors into user position
estimates.
Novel research on modelling space vehicle surface forces was undertaken
between 2001 and 2007 by Marek Ziebart (Professor of Space Geodesy, at UCL
since 2000) and his team (primarily Ant Sibthorpe, now at NASA JPL, at UCL
2002-2008, and Sima Adhya, now running a space mission insurance group in
the City of London, at UCL 2002-2005). Ziebart developed these ideas [1]
in his PhD and through further EPSRC and NERC-funded projects whilst at
UCL. The major developments — specifically design and implementation of
novel tool sets, and extension of the basic concepts — all took place at
UCL (2001-2007). The project demonstrated that high-accuracy radiation
flux models, detailed computer simulations of space vehicle geometry and
attitude, and surface material properties (both optical and thermal) could
be used in a novel and original fashion to model radiation surface forces
on satellites for engineering, scientific and commercial applications [3].
The approach broke new ground and was well received by the engineering and
scientific community because although the effects were known to be
important, existing approaches were considered overly simplistic and
error-prone.
The techniques developed (efficient spacecraft surface modelling, custom
ray-tracing methods, treatment of thermal response of both satellite
multi-layered insulation and solar panels, earth radiation force modelling
and antenna thrust modelling [3,4,5]) led to research collaboration (from
2003) with NASA Jet Propulsion Laboratory, NASA Goddard Space Flight
Centre and the US Air Force Research Laboratory. The UCL team proved their
approach's effectiveness to determine satellite positions in 2004 [2,3].
Improvements were shown in quality metrics both in orbit prediction (for
GPS satellites) and in sea surface height models (for altimetry
satellites). UCL space vehicle surface force models for satellite
altimetry platforms were subsequently adopted by NASA in 2010 for
operational production of orbits for scientific data processing.
Specific innovations developed during the 2001-2007 programme of research
include: using geometric primitives to reduce computational runtime; using
pixel arrays and enhanced ray-tracing methods to model radiation
interactions with satellite surfaces; modelling thermal forces on multi-
layered insulation; developing models of thermal gradients across solar
panels; modelling short and long-wavelength earth radiation fluxes; and
modelling antenna output thrust. These models were rigorously tested by
research groups external to UCL and were found to be superior to all other
approaches [6].
References to the research
1. Ziebart, M., Cross, P., and Adhya, S., (2002). Photon Pressure
Modeling: The Key to High Precision GPS Satellite Orbits. GPS World. 13.
[9 citations]. Available on request.
2. Ziebart, M., Edwards, S., Adhya, S., Sibthorpe, A., Arrowsmith, P.,
and Cross, P., (2004) High Precision GPS IIR Orbit Prediction using
Analytical Non-conservative Force Models, Proceedings of ION GNSS 2004,
Long Beach, California, USA, pp 1764-1770 [7 citations] Available on
request.
3. Ziebart, M., (2004) Generalised Analytical Solar Radiation Pressure
Modelling Algorithm for Spacecraft of Complex Shape, Journal of Spacecraft
and Rockets, Vol.41, No.5, pp 840- 848(9) [peer reviewed, 19 citations] http://doi.org/d9wm9x
4. Ziebart, M., Adhya, S., A. Sibthorpe, S. Edwards and P. Cross, (2005)
Combined Radiation Pressure and Thermal Modelling of Complex Satellites:
Algorithms and On-orbit tests, Advances in Space Research, Volume 36,
Issue 3, 2005, Pages 424-430 [peer reviewed, 25 citations] http://doi.org/bwkhqh
5. Adhya, S., Ziebart, M., and Cross, P., (2005), Thermal Force Modelling
for Precise Prediction and Determination of Spacecraft Orbits, Navigation,
52(3): 131-144 [peer reviewed, 5 citations]. Available on request.
6. N. P. Zelensky, F. G. Lemoine, M. Ziebart, A. Sibthorpe, D. S. Chinn,
D. D. Rowlands, S.B. Luthcke, B. D. Beckley, D. Pavlis, S.M. Klosko, P.
Willis, and V. Luceri, DORIS/SLR POD Modeling Improvements for Jason-1 and
Jason-2, Advances in Space Research, Volume 46, Issue 12, 15 December
2010, Pages 1541-1558 [peer reviewed, 14 citations] http://doi.org/dj6jnq
Grants
The research was supported by grants of more than £0.6 million from the
EPSRC and NERC awarded to Professor Ziebart between 2002 and 2007. Further
grants from NERC totalling circa £1m followed in the period 2008-2013, as
well as a number of commercial contracts.
Details of the impact
The long-standing relationship between UCL and NASA Jet Propulsion
Laboratory and NASA Goddard Space Flight Centre founded on the research
outlined above has been sustained to the present day via invited
presentations at those institutions; publications in scientific journals
(including joint publications with NASA scientists, e.g. [6]) and in
conference presentations. Ziebart has convened conference sessions on
orbit dynamics at the American Geophysical Union and the European
Geosciences Union, stimulating further work in the field. As well as
supporting this important relationship with NASA's research centres, the
work led to the UCL's participation (2003 onwards) in the NASA Ocean
Surface Topography Science working team. Ziebart became a board member of
the International GNSS Service (IGS) in 2011, and provided leadership of
the IGS working group on satellite orbit dynamics. These relationships
have provided vital pathways for the impacts of the research described
above. They have led, in particular, to the use of UCL research to correct
errors in the orbit prediction and orbit determination of satellites,
enabling these satellites to provide more precise data for a range of
applications, including monitoring the effects of climate change, and in
GPS satellite navigation systems.
Contributions to the work of the Intergovernmental Panel on Climate
Change (IPCC):
Because thermal expansion and ice cover loss (glaciers, ice sheets)
contribute to rising sea level, ocean monitoring provides one of the best
ways of modelling long-term climate effects. Sea level monitoring is
carried out using high-accuracy altimetry satellites that are able to
record millimetre-level changes, enabling precise calculations of
temperature changes in the ocean over time. NASA's primary mission for
measuring sea level change was the Jason-1 satellite, which was
operational from 2001 to 2013. Every ten days, Jason-1 produced a model of
the shape of the world's oceans, providing accurate indications of
long-term changes in sea level. Jason-1 data constituted a critical
element in the geophysical data records (GDRs, compiled by NASA, and used
widely by oceanographers to monitor and model ocean dynamics) determining
changes in the ocean's surface, thus forming one of the most powerful
pieces of evidence to show that the Earth's climate is changing.
Throughout Jason-1's lifetime, the GDRs were submitted to the
Intergovernmental Panel on Climate Change (IPCC), the world's principal
climate science assessment body whose members include representatives of
195 governments. The solar radiation pressure and thermal re-radiation
modelling techniques established by Ziebart's team, which were adopted as
operational standards by NASA in 2010 removed significant systematic
biases in the satellite orbits, reducing aliasing and anomalies in the sea
level records passed to the IPCC [6].
In December 2007, the IPCC released its Fourth Assessment Report on the
scientific basis, impacts and mitigation of climate change. It included
details of the recorded change in sea level to that point, based on
Jason-1 outputs. Between 2008 and 2013, data from Jason-1 continued to be
passed to the IPCC, feeding into its 2008 Climate Change and Water
Technical Report [f] and informing the subject matter of its Working Group
1, which monitors and reports on the physical science bases of climate
change. Reports from this working group are discussed by policymakers and
other stakeholders at the UN's annual climate change conferences (UN COP,
four of which have been held between 2008 and July 2013). The first draft
of the group's contribution to the IPCC's Fifth Assessment Report,
including a summary for policymakers, was made available to governments
for comments in July 2013. A lead author for IPCC Working Group 1 says:
"This mission [Jason-1] provides one of the fundamental inputs to the
IPCC... the computation of orbits is an integral step in the chain of
producing meaningful data. This data is being used by sea level scientists
to improve projections of future sea level rise."
In turn, the IPCC's data "then affects directly the formulation of policy
seeking to mitigate the negative impacts of climate change upon the entire
population of the Earth." One direct application he points to is the use
of the data to determine planning for coastal infrastructure. [d]
GPS satellites: The development of Ziebart's techniques and their
subsequent testing (in particular the demonstration of the effectiveness
of earth radiation pressure and antenna thrust modelling) changed the way
in which the orbits of all GPS satellites are calculated — specifically
considering the directions and characteristics of forces previously not
considered. Those satellites have applications in monitoring the
earthquake cycle, measuring plate tectonics, precision agriculture as well
as for routine navigation applications in electronic devices such as
smartphones, which are used by many millions of people worldwide. The main
impact has been at the scientific end of the spectrum leading to an
accuracy improvement by a factor of 2.5 in the computed satellite orbits
[b].
These techniques were adopted as standard in 2010 by the International
GNSS Service, a voluntary federation of more than 200 worldwide agencies
that generates precise open-data GPS and GNSS products. The IGS produces
daily orbit calculations for all satellites; its adoption of the
techniques developed through UCL's work allowed it to improve its orbit
accuracy from 5cm to 2cm. IGS data usage is characterised by 700,000 site
visits a year, with circa 90 million downloads [e]. This data is used to
determine the terrestrial reference frame (TRF), the system of coordinates
used for monitoring the shape of the earth. The TRF forms the fundamental
basis for monitoring plate tectonics and height variation at tide gauges,
among other applications such as modelling sea level change and
post-glacial rebound, as well as commercial positioning services.
Sources to corroborate the impact
[a] Corroboration of the performance and use of UCL's Jason-1 model can
be found in Lemoine, F.G., Zelensky N.P., Chinn, D.S., Pavlis, D.E.,
Rowlands, D.D., Beckley, B.D., Luthcke, S.B., Willis, P., Ziebart, M.,
Sibthorpe, A., Boy, J.P., Luceri, V., (2010) Towards development of a
consistent orbit series for TOPEX/Poseidon, Jason-1, and Jason-2, Adv. in
Space Research,
http://doi.org/ft6g4p, Volume 46,
Issue 12, Pages 1513-1540, 2010.
[b] The statement from the Director of the IGS Central Bureau, NASA Jet
Propulsion Laboratory, corroborates the impact on GPS orbit calculations
and downstream global reference frame modelling. Available on request.
[c] NASA Space Geodesist, Space Geodesy section, NASA Goddard Space
Flight Centre, Washington DC, USA can confirm the use of the UCL Jason-1
force model as a NASA standard, and its influence on the modelling of
global sea level rise. Contact details provided.
[d] The statement from the Lead Author for IPCC WG1 can corroborate the
use of Jason-1 data — and UCL's involvement therein — in the
Intergovernmental Panel on Climate Change work, and the use of this data
by policymakers and other stakeholders. Available on request.
[e] Usage figures for the IGS data, January-December 2012. Available on
request.
[f] Climate Change and Water: IPCC Technical Paper VI, June 2008,
http://www.ipcc.ch/pdf/technical-papers/climate-change-water-en.pdf