Least squares TLE algorithm throws exception during fitting

Orekit usage
1

Orekit version: 12.0.2

Issue: I am trying to fit a SpacecraftState object to a TLE using the LeastSquaresTleGenerationAlgorithm:

        // hyperparams
        int[] maxIters = { 10, 50, 100, 200, 300, 500, 1000, 2000 };
        TLE template = new TLE(
            "1 62697U 25009CS  25103.90815240  .00004210  00000-0  41743-3 0  9995",
            "2 62697  97.7375 184.9125 0002794  49.2915 310.8546 14.92316592 13274"
        );

        // input spacecraft state
        var pv = new TimeStampedPVCoordinates(
            new AbsoluteDate(Instant.ofEpochSecond(1744581183), TimeScalesFactory.getUTC()),
            new Vector3D(-6349102.387412733, 33326.16574364598, 2057949.966207917),
            new Vector3D(2238.0143516655976, 1185.8176127026263, 7126.371812579243)
        );
        var orbit = new KeplerianOrbit(pv, FramesFactory.getTEME(), Constants.EGM96_EARTH_MU);
        var state = new SpacecraftState(orbit);

        for (int iters : maxIters) {
            var algorithm = new LeastSquaresTleGenerationAlgorithm(iters);
            try {
                TLE tle = algorithm.generate(state, template);
            } catch (Exception e) {
                LOGGER.error("Failed to generate TLE:", e);
            }
        }

But I keep getting these exceptions:

org.hipparchus.exception.MathIllegalStateException: maximal count (<some integer>) exceeded

When testing with other SpacecraftState inputs, I also get this exception:

org.orekit.errors.OrekitException: too large eccentricity for propagation model: e = org.hipparchus.analysis.differentiation.Gradient@1136ec13

This happens at multiple values of maxIterations. It does not happen when I use FixedPointTleGenerationAlgorithm with the default hyperparameters.

Question: How can I avoid these exceptions and ensure reliable SpacecraftState → TLE conversions? Are there any preconditions before using the LeastSquaresTleGenerationAlgorithm?

Thank you in advance for your help. Any insights appreciated.

2

What Keplerian orbit parameters is that orbit giving you? It sounds like a TLE is struggling to fit to them