diff --git a/diffmah/diffmahpop_kernels/mc_bimod_sats.py b/diffmah/diffmahpop_kernels/mc_bimod_sats.py
index 2a7e1ff..2c1e529 100644
--- a/diffmah/diffmahpop_kernels/mc_bimod_sats.py
+++ b/diffmah/diffmahpop_kernels/mc_bimod_sats.py
@@ -47,6 +47,21 @@ def _mean_diffmah_params(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0):
     return mah_params_early, mah_params_late, frac_early_cens
 
 
+@jjit
+def _mean_diffmah_params_t_peak(diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key):
+    mah_params_early = _mean_diffmah_params_early_t_peak(
+        diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key
+    )
+
+    mah_params_late = _mean_diffmah_params_late_t_peak(
+        diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key
+    )
+
+    frac_early_cens = _frac_early_cens_kern(diffmahpop_params, lgm_obs, t_obs)
+
+    return mah_params_early, mah_params_late, frac_early_cens
+
+
 @jjit
 def _mean_diffmah_params_early(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0):
     model_params = get_component_model_params(diffmahpop_params)
@@ -77,6 +92,35 @@ def _mean_diffmah_params_early(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0)
     return mah_params
 
 
+@jjit
+def _mean_diffmah_params_early_t_peak(
+    diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key
+):
+    model_params = get_component_model_params(diffmahpop_params)
+    (
+        tp_pdf_cens_params,
+        tp_pdf_sats_params,
+        logm0_params,
+        logm0_sats_params,
+        logtc_params,
+        early_index_params,
+        late_index_params,
+        fec_params,
+        cov_params,
+    ) = model_params
+
+    tpc_key, ran_key = jran.split(ran_key, 2)
+
+    logm0 = _pred_logm0_kern_early(logm0_sats_params, lgm_obs, t_obs, t_peak)
+    logtc = _pred_logtc_early(logtc_params, lgm_obs, t_obs, t_peak)
+    early_index = _pred_early_index_early(early_index_params, lgm_obs, t_obs, t_peak)
+    late_index = _pred_late_index_early(late_index_params, lgm_obs)
+
+    mah_params = DiffmahParams(logm0, logtc, early_index, late_index, t_peak)
+
+    return mah_params
+
+
 @jjit
 def _mean_diffmah_params_late(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0):
     model_params = get_component_model_params(diffmahpop_params)
@@ -108,8 +152,45 @@ def _mean_diffmah_params_late(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0):
 
 
 @jjit
-def mc_diffmah_params_singlecen(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0):
-    _res = _mean_diffmah_params(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0)
+def _mean_diffmah_params_late_t_peak(
+    diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key
+):
+    model_params = get_component_model_params(diffmahpop_params)
+    (
+        tp_pdf_cens_params,
+        tp_pdf_sats_params,
+        logm0_params,
+        logm0_sats_params,
+        logtc_params,
+        early_index_params,
+        late_index_params,
+        fec_params,
+        cov_params,
+    ) = model_params
+
+    tpc_key, ran_key = jran.split(ran_key, 2)
+
+    logm0 = _pred_logm0_kern_late(logm0_sats_params, lgm_obs, t_obs, t_peak)
+    logtc = _pred_logtc_late(logtc_params, lgm_obs, t_obs, t_peak)
+    early_index = _pred_early_index_late(early_index_params, lgm_obs, t_obs, t_peak)
+    late_index = _pred_late_index_late(late_index_params, lgm_obs)
+
+    mah_params = DiffmahParams(logm0, logtc, early_index, late_index, t_peak)
+
+    return mah_params
+
+
+@jjit
+def mc_diffmah_params_singlesat(
+    diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0, t_peak=None
+):
+    if t_peak is None:
+        _res = _mean_diffmah_params(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0)
+    else:
+        _res = _mean_diffmah_params_t_peak(
+            diffmahpop_params, lgm_obs, t_obs, t_peak, ran_key
+        )
+
     (mean_mah_params_early, mean_mah_params_late, frac_early_cens) = _res
 
     mean_mah_u_params_early = get_unbounded_mah_params(mean_mah_params_early)
@@ -139,8 +220,8 @@ def mc_diffmah_params_singlecen(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0
 
 
 @jjit
-def _mc_diffmah_singlecen(diffmahpop_params, tarr, lgm_obs, t_obs, ran_key, lgt0):
-    _res = mc_diffmah_params_singlecen(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0)
+def _mc_diffmah_singlesat(diffmahpop_params, tarr, lgm_obs, t_obs, ran_key, lgt0):
+    _res = mc_diffmah_params_singlesat(diffmahpop_params, lgm_obs, t_obs, ran_key, lgt0)
     mah_params_early, mah_params_late, frac_early_cens = _res
     dmhdt_early, log_mah_early = mah_singlehalo(mah_params_early, tarr, lgt0)
     dmhdt_late, log_mah_late = mah_singlehalo(mah_params_late, tarr, lgt0)
@@ -152,7 +233,7 @@ def _mc_diffmah_singlecen(diffmahpop_params, tarr, lgm_obs, t_obs, ran_key, lgt0
 
 
 _V = (None, None, 0, 0, 0, None)
-_mc_diffmah_singlecen_vmap_kern = jjit(vmap(_mc_diffmah_singlecen, in_axes=_V))
+_mc_diffmah_singlesat_vmap_kern = jjit(vmap(_mc_diffmah_singlesat, in_axes=_V))
 
 
 @partial(jjit, static_argnames=["n_mc"])
@@ -161,7 +242,7 @@ def _mc_diffmah_halo_sample(
 ):
     zz = jnp.zeros(n_mc)
     ran_keys = jran.split(ran_key, n_mc)
-    return _mc_diffmah_singlecen_vmap_kern(
+    return _mc_diffmah_singlesat_vmap_kern(
         diffmahpop_params, tarr, lgm_obs + zz, t_obs + zz, ran_keys, lgt0
     )
 
@@ -173,7 +254,7 @@ def mc_satpop(diffmahpop_params, tarr, lgm_obs, t_obs, ran_key, lgt0):
     ran_keys = jran.split(ran_key, n_mc + 1)
     dmah_keys = ran_keys[:-1]
     uran_key = ran_keys[-1]
-    _res = _mc_diffmah_singlecen_vmap_kern(
+    _res = _mc_diffmah_singlesat_vmap_kern(
         diffmahpop_params, tarr, lgm_obs, t_obs, dmah_keys, lgt0
     )
     p_e, dmhdt_early, log_mah_early = _res[0:3]
diff --git a/diffmah/diffmahpop_kernels/tests/test_mc_diffmahpop_bimod_sats.py b/diffmah/diffmahpop_kernels/tests/test_mc_diffmahpop_bimod_sats.py
index 25a55ef..9dc6387 100644
--- a/diffmah/diffmahpop_kernels/tests/test_mc_diffmahpop_bimod_sats.py
+++ b/diffmah/diffmahpop_kernels/tests/test_mc_diffmahpop_bimod_sats.py
@@ -56,7 +56,7 @@ def test_mean_diffmah_params():
             assert np.all(np.isfinite(_x))
 
 
-def test_mc_diffmah_params_singlecen():
+def test_mc_diffmah_params_singlesat():
     ran_key = jran.key(0)
     t_0 = 13.0
     lgt0 = np.log10(t_0)
@@ -64,12 +64,34 @@ def test_mc_diffmah_params_singlecen():
     lgmarr = np.linspace(10, 15, 20)
     for lgm_obs in lgmarr:
         args = (DEFAULT_DIFFMAHPOP_PARAMS, lgm_obs, t_obs, ran_key, lgt0)
-        _res = mcdpk.mc_diffmah_params_singlecen(*args)
+        _res = mcdpk.mc_diffmah_params_singlesat(*args)
         mah_params_e, mah_params_l, frac_early = _res
         assert np.all(np.isfinite(mah_params_e.logtc))
         assert np.all(np.isfinite(mah_params_l.logtc))
 
 
+def test_mc_diffmah_params_singlesat_agrees_with_fixed_t_peak_version():
+    ran_key = jran.key(0)
+    t_0 = 13.0
+    lgt0 = np.log10(t_0)
+    t_obs = 10.0
+    lgmarr = np.linspace(10, 15, 20)
+    for lgm_obs in lgmarr:
+        args = (DEFAULT_DIFFMAHPOP_PARAMS, lgm_obs, t_obs, ran_key, lgt0)
+        _res = mcdpk.mc_diffmah_params_singlesat(*args)
+        mah_params_e, mah_params_l, frac_early = _res
+
+        _res2 = mcdpk.mc_diffmah_params_singlesat(*args, t_peak=mah_params_e.t_peak)
+        mah_params_e2, mah_params_l2, frac_early2 = _res2
+        for p, p2 in zip(mah_params_e, mah_params_e2):
+            assert np.allclose(p, p2)
+
+        _res3 = mcdpk.mc_diffmah_params_singlesat(*args, t_peak=mah_params_l.t_peak)
+        mah_params_e3, mah_params_l3, frac_early3 = _res3
+        for p, p2 in zip(mah_params_l, mah_params_l3):
+            assert np.allclose(p, p2)
+
+
 def test_predict_mah_moments_singlebin():
     ran_key = jran.key(0)
     t_0 = 13.0