Apophis
Flyby Geometry

Peer-reviewed

Computes the close-approach geometry for the 2029-04-13 flyby of asteroid 99942 Apophis. At the nominal JPL perigee of 38,017 km from Earth's centre — well inside geostationary orbit at 42,164 km — this is the closest-ever observed approach of a large asteroid. Calculates tidal acceleration across the body and perigee speed from the vis-viva equation.

Confirmed upcoming event — 2029-04-13 Apophis will pass at ~38,017 km from Earth's centre (JPL/CNEOS solution #197). Two spacecraft are en route: NASA OSIRIS-APEX (arriving 2029-04-13) and ESA Ramses (launch target Apr 2028). All JPL orbital solutions since 2021 rule out Earth impact in 2029.
Close-approach parameters
38,017 km
Earth-centre distance at closest approach. JPL nominal: 38,017 km. GEO at 42,164 km.
340 m
Mean diameter. Radar shape model: ~340 m ± ~30 m (Brozovic et al. 2018).
7.43 km/s
Hyperbolic excess velocity (v_inf). Used in vis-viva: v_peri² = v_inf² + 2·GM/r.
Results
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tidal dg (m/s² across body)
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v_perigee (km/s)
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speed boost vs. v_inf (km/s)
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GEO crossing status
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What this tool computes

Tidal acceleration across the asteroid body (classical tidal formula):

dg = 2 · GM_earth · d / r³

where d is the asteroid diameter (m), r is the perigee distance (m). Units: m/s².

Perigee speed from the vis-viva equation for a hyperbolic orbit:

v_peri² = v_inf² + 2 · GM_earth / r

where v_inf is the hyperbolic excess velocity (input). Speed boost = v_peri − v_inf.

GEO crossing: inside if perigee_km < 42,164 km. GEO margin = GEO_km − perigee_km (positive = inside GEO ring).

Constants

  • GM_earth = 3.986004418 × 10¹⁴ m³/s² (IAU 2009 TDB-scale)
  • R_earth = 6,371 km (IAU 2015 B3 mean radius)
  • GEO = 42,164 km from Earth's centre

JPL nominal solution

JPL/CNEOS Apophis close-approach solution #197 (as of 2024): perigee 38,017 km, diameter ~340 m (radar shape model), v_inf ~7.43 km/s. All solutions since Farnocchia et al. 2021 rule out Earth impact in 2029.

Missions

  • NASA OSIRIS-APEX (formerly OSIRIS-REx) — en route, arrival 2029-04-13
  • ESA Ramses — committed Nov 2025, launch target Apr 2028, arrival Apr 2029

Citations

  • Farnocchia et al. 2021, Icarus 369, 114594 (DOI 10.1016/j.icarus.2021.114594) — definitive orbit solution
  • Brozovic et al. 2018, Icarus 300, 115 (DOI 10.1016/j.icarus.2017.09.010) — radar observations and diameter
  • JPL/CNEOS Apophis close-approach solution #197: 2029-Apr-13 perigee ~38,017 km
Tool v1.2.0 · mandate me.omegacentauri/apophis_flyby · register: peer-reviewed · OCG artifact v0.4.0