Mars

Spirit and Opportunity expedition profile.

The Mars Exploration Rovers performed mobile field geology far beyond their planned lifetimes.

Loading mission geometry...

Mission facts

Launch, target, and status

Target
Mars
Agency
NASA / JPL
Launch
June 10 and July 7, 2003
Arrival / encounter
January 2004
Mission type
Twin rovers
Current status
Successful long-duration Mars surface missions
Launch vehicle
Delta II
Reference target orbit
1.524 AU from Sun

Expedition path

How the spacecraft travelled

Twin direct transfers, atmospheric entry, parachute, rockets, and airbag landings.

Found strong mineral evidence for ancient water environments and proved long-range rover operations.

Science Payload

What this mission measured

Measurements

Panoramic imaging, microscopic imaging, APXS, Moessbauer spectroscopy, thermal emission spectrometry, rock abrasion.

Target environment

The target reference is 1.524 AU in the compact simulator; solar-probe entries use close-solar perihelion distance while planet entries use the target world's solar orbit.

Review note

The canvas shows a clean teaching transfer and mission class. Exact flight dynamics require full ephemerides, maneuvers, launch energy, spacecraft mass properties, and operations timelines.

Expedition review

Why Spirit and Opportunity matters

Found strong mineral evidence for ancient water environments and proved long-range rover operations.

Mathematical model

Mission trajectory and spacecraft model

Mission visuals combine catalog dates, distance vectors, speed estimates, and schematic spacecraft geometry. They are not CAD-certified vehicle meshes unless a source model is explicitly loaded.

Vector propagation

\[\mathbf{r}(t)=\mathbf{r}_0+\mathbf{v}(t-t_0)\]

For live-distance spacecraft pages, current position is propagated from epoch vector and velocity when high-precision ephemerides are not bundled.

Transfer curve

\[\mathbf{r}_{\mathrm{curve}}(u)=\operatorname{Bezier}\!\left(\mathbf{r}_{\mathrm{launch}},\mathbf{r}_{\mathrm{mid}},\mathbf{r}_{\mathrm{target}}\right)\]

Mission path arcs are schematic transfer curves anchored at meaningful endpoints, not claims of exact reconstructed trajectories.

Dimensional hierarchy

\[T_{\mathrm{world}}=T_{\mathrm{parent}}RS\]

Spacecraft parts are placed with transformation matrices. This proves the generated geometry is internally consistent even when simplified.

Verification standard: the rendered object must be reproducible from stated equations, catalog parameters, or explicit geometric transforms. Visual reference images may inform presentation only; they are not the source of orbital positions, field vectors, accretion-disk gradients, timing, or engineering layout.

Limitations: browser scenes may use bounded scale, compressed distances, simplified two-body dynamics, schematic transfer curves, or educational approximations where full numerical ephemerides, CFD, finite-element models, or general-relativistic ray tracing are outside the page scope. Those simplifications are part of the model contract, not hidden image-based construction.

Open the full site-wide mathematical verification policy