UPPER ATMOSPHERIC DENSITIES DERIVED FROM STARSHINE SPACECRAFT ORBITS
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1 UPPER ATMOSPHERIC DENSITIES DERIVED FROM STARSHINE SPACECRAFT ORBITS R. G. Moore 1, J. Lean 2, J. M. Picone 2, S. Knowles, A. Hedin 2, and J. Emmert Sierra Vista Road, Monument CO Naval Research Laboratory, Washington DC Raytheon Company, Lexington MA Motivation - improved density model for orbit tracking Starshine Orbits - cycle 2 max Spacecraft Drag - independent data for model validation Starshine vs NRLMSIS model density comparison
2 Upper Atmosphere Density Causes Spacecraft Drag drag acceleration = 0.5 ρ v 2 C d A/ M ρ v C d A atmospheric density velocity relative to local environment drag coefficient, M mass cross sectional area perpendicular to velocity vector three Starshine Spacecraft with spherical geometry and known mass have been launched into circular low-earth orbits 9,000 resident space objects larger than 15 cm
3 Starshine Spacecraft 1 2 Properties of Starshine Spacecraft Launch Eccentricity Reentry Initial Altitude (km) Inclination (degree) Mass (kg) Diameter (cm) 48 (19 ) 48 (19 ) 94 (7 ) C D Inverse Ballistic Coefficient (cm 2 gm -1 )
4 Solar Activity Alters Temperature and Composition at Starshine Altitudes Temperature Primary Constituents solar min dashed F 10.7 =70, <F 10.7 > 81 =70, Ap=11 solar max - solid F 10.7 =200, <F 10.7 > 81 =174, Ap=11
5 Starshine Two Line Element Sets USSPACECOM orbit parameters derived from General Perturbation theory: six Kozai mean elements inclination right ascension of ascending node argument of perigree eccentricity mean motion mean anomaly plus drag (Bstar) 10 - provided by Dr T. Kelso,
6 Atmospheric Density Derived from TLEs instantaneous change in mean motion with time dn = 1/ 2 / n µ BFρv 2 dt change in mean motion between two successive TLE epochs density average between two successive TLE epochs n = mean motion, t = time ρ = mass density B = inverse ballistic coef = C d A/M µ = GM, gravitational parameter v = spacecraft velocity F = wind factor rω cos( ) 2 1 i v n ρ n 1/ 2 / 2 1 ne µ Bρ 2 E E = 2 ( n n ) µ 2 1 1/ Bn ρ = E Fρv E Fv 2 / Fv dt dt Fv dt dt where ρ E and n E are effective values between two successive TLE epochs:
7 Starshine Orbits are Assumed Circular for circular orbits Fv dt = Fv ( t t ) 2 1 density at TLE epoch ρ 2 / 2 dn µ 1/ dt Bn v F gravitational constant wind factor derivative of mean motion inverse ballistic mean motion speed coefficient height and speed are approximately constant during Starshine orbits so Fv dt Fv ( t t ) 2 1
8 Quantities for Drag Calculations obtained from TLE s directly obtained from SPG4 with TLE inputs obtained from SPG4 and TLE s
9 Total Mass Densities Derived from Drag on Starshine Spacecraft
10 Starshine Total Mass Densities and US Standard Atmosphere (1976) Densities from Starshine drag: higher than USSA76 at altitudes above 200 km lower than USSA76 at altitudes below 200 km Starshine 1,2 & orbits occurred during overall high solar activity
11 NRL s Time-Dependent Upper Atmosphere Density Specification Model calculates upper atmosphere total mass density, composition and temperature, for specified altitude, latitude, longitude, local time, day of year and solar activity NRLMSIS-00 Naval Research Laboratory Mass Spectrometer and Incoherent Scatter Model (2000) enhanced, revised model within MSIS framework - Hedin, 1987, 1991 extended database for model formulation - total mass densities from satellite - excluding Starshine accelerometers and orbit determinations - temperatures from incoherent scatter radar -O 2 densities from solar UV occultation solar/geomagnetic inputs -F 10.7, F 10.7 A, Ap Picone et al., Phys. Chem. of Earth, 2000
12 Comparison of Starshine and NRLMSIS Total Mass Densities NRLMSIS model is evaluated around one complete Starshine orbit 1 2 orbit-average model density is compared with Starshine drag value Starshine 2 & show similar differences with NRLMSIS
13 NRLMSIS Total Mass Density Variations During Single Starshine Orbits Starshine location around orbit input to NRLMSIS model, with specified dayof-year and solar activity density calculated by NRLMSIS model
14 Starshine and NRLMSIS Differences related to solar indices SOHO EIT EUV/04 Å 0JUL99 14AUG99 Starshine 1 when NRLMSIS densities lead Starshine densities, F10.7 coronal index leads chromospheric index (derived from ratios of core-to-wing emission in solar Ca II K and Mg II h&k Fraunhofer lines) exponential fall off differences between NRLMSIS and Starshine densities track differences between F10.7 and chromospheric indices
15 F 10.7, [F 10.7 ] 81 A P Reformulating NRLMSIS Upper Atmosphere Density Model Current Version: NRLMSIS proxies for EUV radiation -- proxy for geomagnetic effect of solar wind Picone et al., Phys. Chem. of the Earth, Part C, 2000, Picone et al., JGR, in preparation I CHROM, [I CHROM ] 81 A P Future Version: NRLMSIS-SOLC SOLC -- proxies for EUV radiation -- proxy for geomagnetic effect of solar wind NRLMSIS has been reformulated using a new solar irradiance index - improvements will be assessed by comparisons with Starshine drag
16 SUMMARY: Upper Atmospheric Densities Derived From Starshine Spacecraft Orbits mass densities at km derived from USSPACECOM TLEs along Starshine 1,2, orbits densities have solar EUV induced 27-day variations superimposed on exponential fall-off with altitude Starshine and NRLMSIS-00 densities agree to within 20% differences between chromospheric and F 10.7 proxies may account for some of the differences NRLMSIS has been reformulated with a new solar EUV proxy NRLMSIS-SOLC Starshine 4, 5 are in progress model validation during 11-year solar cycle comparisons with TIMED irradiance & density
17 Starshine Spacecraft Series tracking the 11-year solar activity cycle Starshine 1, STS-96, mid-1999, 85 km, 9 kg Starshine, Kodiak, Sept 2001, 471 km, 90 kg Starshine 2, STS-108, Dec 2001, 87 km, 8 kg Starshine 4,5, TBD 85 km TIMED: GUVI atmospheric densities SEE solar EUV irradiances
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