Table 4: Ephemeris of PSR J1012+5307 from the Effelsberg and the Lovell radio timing data. Errors on the last digits are shown in parenthesis after the values.
Parameter Value

Right ascension (J2000) 10 $^{\rm h}$ 12 $^{\rm m}$ 33 $\hbox{$.\!\!^{\rm s}$ }$ 43463677

Declination (J2000) 53 $^{\circ}$ 07^'02 $\hbox{$.\!\!^{\prime\prime}$ }$ 4965199

Period (P) 0.00525605523 s

Period derivative ( $\dot{P}$ ) $0.726912 \times 10^{-20}$ s s^-1

Second period derivative ( P) $2.48928 \times 10^{-30}$ s s^-2

Frequency ( $\nu$ ) 190.267837551251880(508) Hz

Frequency derivative ( $\dot{\nu}$ ) $-6.200023(202)\times 10^{-16}$ Hz s^-1

Second frequency derivative (t #tex2html_wrap_inline1553#) $1.871(294) \times 10^{-27}$ Hz s^-2

Epoch of the period (MJD) 52 018.324635450415

Orbital period 52 243.7224464(17) s

$a.\sin~ i$ 0.581817416(121)

Eccentricity < $1.3 \times 10^{-6}$

Time of ascending node (MJD) 52 018.268144542(23)

**Table 4:** Ephemeris of PSR J1012+5307 from the Effelsberg and the Lovell radio timing data. Errors on the last digits are shown in parenthesis after the values.
Parameter	Value
Right ascension (J2000)	10 $^{\rm h}$ 12 $^{\rm m}$ 33 $\hbox{$.\!\!^{\rm s}$ }$ 43463677
Declination (J2000)	53 $^{\circ}$ 07^'02 $\hbox{$.\!\!^{\prime\prime}$ }$ 4965199
Period (P)	0.00525605523 s
Period derivative ( $\dot{P}$ )	$0.726912 \times 10^{-20}$ s s^-1
Second period derivative ( P)	$2.48928 \times 10^{-30}$ s s^-2
Frequency ( $\nu$ )	190.267837551251880(508) Hz
Frequency derivative ( $\dot{\nu}$ )	$-6.200023(202)\times 10^{-16}$ Hz s^-1
Second frequency derivative (t #tex2html_wrap_inline1553#)	$1.871(294) \times 10^{-27}$ Hz s^-2
Epoch of the period (MJD)	52 018.324635450415
Orbital period	52 243.7224464(17) s
$a.\sin~ i$	0.581817416(121)
Eccentricity	< $1.3 \times 10^{-6}$
Time of ascending node (MJD)	52 018.268144542(23)

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