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=== Donald K. Yeomans 2013 Princeton 523.44 Yeo Tigard === === Donald K. Yeomans 2016 paperback Princeton 523.44 Yeo Tigard . $12.77 Abebooks ===
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 .  .p83 (253) Mathilde density 1.3, rubble pile
 .p84 (25143) Itokawa, 2005 Hyabusa probe, LL chondritic body
 .p86 rotation rates from several weeks to 30 seconds (30 meter sized)
 .p86 faster than 2 hours and rubble pile asteroids fly apart
 .p87 Fig 6.4, graph of rotation period vs diameter, vast majority of larger asteroids are > 2 hrs
 .p87 Fig 6.5 (66391) 1999 KW4, 1.6km diameter equatorial bulge and 0.6 km moon, 17.4 hours 2.5 km radius
 .p102 meteorites: '''some''' asteroids are 100 ppm platinum-group metals (Bushveld is 10ppm)
 .p104 Obama U.S. National Space Vision 2010, human exploration of NEO by 2025 as step towards Mars
 .p105 LEO to moon surface 6.3 km/s, to NEO is 5.5 km/s (6 month mission)
 .p105-7 humans in space suits ... Why not minature teleoperated robots, humans stay in spacecraft?
 .p107 "The inclusion of astronauts on mission to a near-Earth asteroid would greatly improve the quality of the sample collection process ..."
 .p109 >100 tonnes per day
 .p110 17 km/s, pancakes and oblates carrying off heat,
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   .p115 table estimates by Yeomans
|| Diam || est. Number ||
|| 1m || 1 billion ||
|| 10m || 10 million ||
|| 30m || 1.3 million ||
|| 100m || 20,500 to 36,000 ||
|| 140m || 13,000 to 20,000 ||
|| 550m || 2,400 to 3,300 ||
|| 1km || 980 to 1,000 ||
|| 10km || 4 ||

-----
=== How big a rock could a small robot lift on a 1 km diameter, 2g/cm3 asteroid? ===
... ignoring separation and balance ...

 . presume 1 cm² cross section, 1 GPa compression strength, 1e5 N "strength"
 . mass = (π/6)×2000×1e9 kg ≈ 1e12 kg
 . gravity = 6.67e-11×1e12/(1e3)² ≈ 7e-5 m/s²
 . lift mass = 1.4e9 kg = (π/6)×2000*D³ ⇒ 85 meters in diameter

For balance, there will be many robots, so the mass could be larger. Probably no point to that, this shows that a herd of very small robots can pick apart and re-assemble a gravel pile asteroid quite efficiently.

Near Earth Objects

Finding Them Before They Find Us

Donald K. Yeomans 2016 paperback Princeton 523.44 Yeo Tigard . $12.77 Abebooks


Manager of NASA's Near-Earth Object Program Office at JPL. He was the Radio Science Team Chief for the Near-Earth Asteroid Rendezvous (NEAR) mission and currently he is the US Project Scientist for the Japanese Hayabusa.


  • xiii 2013 Feb 15 Asteroid 2012 DA L-class, carbon dominated with calcium and aluminum inclusions, .44 albedo, 20x40m
  • xiii 2013 Feb 15 Chelyabinsk fireball 23 km altitude 18m diameter 10000 tonnes
  • xiii 1km asteroid every 500K years
  • p11 Amor: per 1.017 to 1.3 AU, ap < Mars ~ 1.5 AU

    • Apollo: per < 1.017 AU, semi > 1 AU

    • Aten: ap > 0.983 AU, semi < 1 AU

    • Atiras: ap < 0.983 AU, semi < 1 AU

  • p19 Neptune 30 AU, Kuiper 35AU to 50 AU (<0.1 Me), Oort >1K to 100K AU (1.6 LY) (4 to 80 Me)

  • p33 Nice model of planetary formation/migration
  • p44 Yarkowski, prograde rotation outward
  • p45 YORP, uneven radiation changes rotation
  • p50 Moon formed 4.5Gya / Late Heavy Bombardment 3.9 Gya / life evidence 3.5 Gya / Oxygen 2.4 Gya / Eukariotes 2.0 Gya
  • p56 few known NEO until mid 1990s
  • p63 Eleanor "Glo" Helin 1932-2009 with Gene Shoemaker at Palomar Schmidt 1973
  • p65 Gene and Carolyn Shoemaker to USGS Flagstaff, Helin to JPL
  • p65 1983 Tom Gehrels and Bob McMillan, Spacewatch at Steward Obsv. near Tucson, 1989 2K*2K CCD

  • p69 1998 Spaceguard Goal, 90% of 1-2km NEO over next decad, presumed 14% albedo
  • p71 Allan W. Harris 990 >1Km

  • p73 NEA discovery graph book as of 2011/08

  • p75 LSST expected to find 90% of >140m objects over 70 years

  • p76 WISE 2009/12 to 2010/10, NEOWISE Amy Mainzer discovered 135 NEOs and 21 comets

  • p77 hypothetical NEO IR telescope at Venus distance could see more Aten class
  • p83 (253) Mathilde density 1.3, rubble pile
  • p84 (25143) Itokawa, 2005 Hyabusa probe, LL chondritic body
  • p86 rotation rates from several weeks to 30 seconds (30 meter sized)
  • p86 faster than 2 hours and rubble pile asteroids fly apart
  • p87 Fig 6.4, graph of rotation period vs diameter, vast majority of larger asteroids are > 2 hrs

  • p87 Fig 6.5 (66391) 1999 KW4, 1.6km diameter equatorial bulge and 0.6 km moon, 17.4 hours 2.5 km radius
  • p102 meteorites: some asteroids are 100 ppm platinum-group metals (Bushveld is 10ppm)

  • p104 Obama U.S. National Space Vision 2010, human exploration of NEO by 2025 as step towards Mars
  • p105 LEO to moon surface 6.3 km/s, to NEO is 5.5 km/s (6 month mission)
  • p105-7 humans in space suits ... Why not minature teleoperated robots, humans stay in spacecraft?
  • p107 "The inclusion of astronauts on mission to a near-Earth asteroid would greatly improve the quality of the sample collection process ..."
  • p109 >100 tonnes per day

  • p110 17 km/s, pancakes and oblates carrying off heat,
  • p115 table estimates by Yeomans

Diam

est. Number

1m

1 billion

10m

10 million

30m

1.3 million

100m

20,500 to 36,000

140m

13,000 to 20,000

550m

2,400 to 3,300

1km

980 to 1,000

10km

4


How big a rock could a small robot lift on a 1 km diameter, 2g/cm3 asteroid?

... ignoring separation and balance ...

  • presume 1 cm² cross section, 1 GPa compression strength, 1e5 N "strength"
  • mass = (π/6)×2000×1e9 kg ≈ 1e12 kg
  • gravity = 6.67e-11×1e12/(1e3)² ≈ 7e-5 m/s²
  • lift mass = 1.4e9 kg = (π/6)×2000*D³ ⇒ 85 meters in diameter

For balance, there will be many robots, so the mass could be larger. Probably no point to that, this shows that a herd of very small robots can pick apart and re-assemble a gravel pile asteroid quite efficiently. MoreLater

NearEarthObjects (last edited 2017-12-15 22:02:26 by KeithLofstrom)