6-Target Gate Problem (incl. Hover)

ADVANTAGES2 · dim 42

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

6 targets: 3 maneuvering + 2 cruise + 1 hovering (near-zero velocity). Intermediate gate problem per board D6. The hovering target creates stiffness contrast with maneuvering targets.

Target tracking

Problem definition

Bar-Shalom et al. (2001) Ch. 11; Blackman & Popoli (1999) Ch. 7

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs(t, y):
    d = np.empty(dim)
    for i in range(n_targets):
        base = 7 * i
        x   = y[base]
        yy  = y[base + 1]
        z   = y[base + 2]
        vx  = y[base + 3]
        vy  = y[base + 4]
        vz  = y[base + 5]
        a_m = y[base + 6]

        v_mag = np.sqrt(vx * vx + vy * vy + vz * vz)
        v_safe = max(v_mag, _VEL_FLOOR)
        omega = omegas_arr[i]

        d[base]     = vx
        d[base + 1] = vy
        d[base + 2] = vz
        d[base + 3] = -omega * vy + a_m * vx / v_safe
        d[base + 4] =  omega * vx + a_m * vy / v_safe
        d[base + 5] =               a_m * vz / v_safe
        d[base + 6] = -a_m * inv_tau_a

    return d
Parameters
  • _VEL_FLOOR = 1e-06
  • dim = 42
  • inv_tau_a = 0.2
  • n_targets = 6
  • omegas_arr = [0.2, 0.35, 0.15, 0.02, 0.01, 0]
Initial condition
y(0) = [1000, 0, 500, 60, 80, 0, …] [shape=(42,), min=-2000, max=3000]
Horizon
t ∈ [0, 60]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: extreme

Default noise: low

Recommendation snapshot

Clean best: SciPy Radau

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: 6-Target Gate Problem (incl. Hover) (6-target-gate-problem-incl-hover)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SciPy RadauSciPy
100%
10.64,212143 ms0.871
2Tsit5external
100%
8.71,218998 ms0.825
3SciPy DOP853SciPy
100%
8.64588 ms0.824
4SciPy LSODASciPy
100%
8.55639 ms0.821
5SolvSRK
100%
8.31,30330 ms0.817
6SciPy RK45SciPy
100%
8.31,27423 ms0.817
7CVODE Adamsexternal
100%
7.940614 ms0.807
8SciPy RK23SciPy
100%
7.58,516172 ms0.798
9CVODE BDFexternal
100%
7.080524 ms0.786
10SciPy BDFSciPy
100%
6.996447 ms0.782

At Clean, best balanced arm is SciPy Radau · SolvSRK survival 100%, SCD 8.3.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

SolvScout · free

Profile your problem for free

This page shows one published benchmark cell. SolvScout fingerprints your ODE, compares it to the full corpus, and recommends a solver with the same survival / precision / speed ranking you see here — including when a SciPy arm wins.

SolvSRK · 30-day trial

Run the winner on your machine

SolvSRK is the stiffness-adaptive integrator behind the SolvSRK column in these tables. Create an account, activate a machine, and take a 30-day trial — same binary you'd ship after purchase.

Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_6_target_gate_problem_incl_hover_2026,
  title        = {Resonix Evidence Portal: 6-Target Gate Problem (incl. Hover)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/6-target-gate-problem-incl-hover}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status