{"id":"vidhyamitra:city-day:ayodhya:2161-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2161-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-12-31","date_display":"December 31, 2161 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2161,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510713.770833,"kali_year":5263,"ahargana":1922248.2708,"sun":{"sidereal_longitude":252.826,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.0112,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.1852,"elapsed_within_tithi_degrees":5.1852},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.0112,"elapsed_within_degrees":0.6779},"yoga":{"number":24,"name":"Śukla","sum_longitude":306.8373},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2161,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510713.770833,"ahargana":1922248.2708,"kali_year":5263,"ayanamsa_lahiri":26.116,"grahas":{"sun":{"sidereal_longitude":253.47182799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":55.422528,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-1.827},"mars":{"sidereal_longitude":343.962528,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":238.69432800000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":241.78492800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":259.9212279999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":212.28622799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":210.0361,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.0361,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2161,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510713.770833,"kali_year":5263,"ahargana":1922248.2708,"sun":{"sidereal_longitude":252.826,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":54.0112,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.1852,"elapsed_within_tithi_degrees":5.1852},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":54.0112,"elapsed_within_degrees":0.6779},"yoga":{"number":24,"name":"Śukla","sum_longitude":306.8373},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.827,"elongation":161.185},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.827,"opposition_distance":18.815}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:50","sunsetLocal":"17:19","solarNoonLocal":"12:04","dayLengthHours":10.480138308743541,"dayLengthDisplay":"10 Hours 28 Mins 48 Secs","nightLengthDisplay":"13 Hours 31 Mins 12 Secs","moonriseLocal":"15:59","moonsetLocal":"05:45","rahuKala":{"name":"Rāhu Kāla","start":"13:23","end":"14:42","startHours":13.384021203989697,"endHours":14.69403849258264,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:50","end":"08:09","startHours":6.8339347610249845,"endHours":8.143952049617926,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:27","end":"10:46","startHours":9.45396933821087,"endHours":10.763986626803813,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:38","startHours":9.279300366398477,"endHours":9.628638310023263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:16","end":"07:33","startHours":7.270607190555966,"endHours":7.550077545455793,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:25","startHours":11.724665971771971,"endHours":12.423341859021539,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:08","startHours":5.4365829865258455,"endHours":6.135258873775415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:50","startHours":5.960589901963023,"endHours":6.8339347610249845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.82069363352068,"endHours":14.51936952077025,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.114073069768526,"endHours":17.514073069768525,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.314073069768526,"endHours":17.750745499299505,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.064073069768526,"endHours":18.814073069768526,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:25","startHours":23.72466597177197,"endHours":24.42334185902154,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:50","end":"08:09","startHours":6.8339347610249845,"endHours":8.143952049617926,"quality":"auspicious"},{"name":"Roga","start":"08:09","end":"09:27","startHours":8.143952049617926,"endHours":9.45396933821087,"quality":"inauspicious"},{"name":"Udveg","start":"09:27","end":"10:46","startHours":9.45396933821087,"endHours":10.763986626803813,"quality":"inauspicious"},{"name":"Chala","start":"10:46","end":"12:04","startHours":10.763986626803813,"endHours":12.074003915396755,"quality":"neutral"},{"name":"Labha","start":"12:04","end":"13:23","startHours":12.074003915396755,"endHours":13.384021203989697,"quality":"auspicious"},{"name":"Amṛta","start":"13:23","end":"14:42","startHours":13.384021203989697,"endHours":14.69403849258264,"quality":"auspicious"},{"name":"Kāla","start":"14:42","end":"16:00","startHours":14.69403849258264,"endHours":16.004055781175584,"quality":"inauspicious"},{"name":"Śubha","start":"16:00","end":"17:19","startHours":16.004055781175584,"endHours":17.314073069768526,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:00","startHours":17.314073069768526,"endHours":19.004055781175584,"quality":"auspicious"},{"name":"Kāla","start":"19:00","end":"20:42","startHours":19.004055781175584,"endHours":20.694038492582642,"quality":"inauspicious"},{"name":"Śubha","start":"20:42","end":"22:23","startHours":20.694038492582642,"endHours":22.384021203989697,"quality":"auspicious"},{"name":"Roga","start":"22:23","end":"00:04","startHours":22.384021203989697,"endHours":24.074003915396755,"quality":"inauspicious"},{"name":"Udveg","start":"00:04","end":"01:46","startHours":24.074003915396755,"endHours":25.763986626803813,"quality":"inauspicious"},{"name":"Chala","start":"01:46","end":"03:27","startHours":25.763986626803813,"endHours":27.453969338210868,"quality":"neutral"},{"name":"Labha","start":"03:27","end":"05:09","startHours":27.453969338210868,"endHours":29.143952049617926,"quality":"auspicious"},{"name":"Amṛta","start":"05:09","end":"06:50","startHours":29.143952049617926,"endHours":30.833934761024985,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.8339347610249845,"endHours":7.8339347610249845,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.8339347610249845,"endHours":8.833934761024985,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.833934761024985,"endHours":9.833934761024985,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.833934761024985,"endHours":10.833934761024985,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.833934761024985,"endHours":11.833934761024985,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.833934761024985,"endHours":12.833934761024985,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.833934761024985,"endHours":13.833934761024985,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.833934761024985,"endHours":14.833934761024985,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.833934761024985,"endHours":15.833934761024985,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.833934761024985,"endHours":16.833934761024985,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.833934761024985,"endHours":17.833934761024985,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.833934761024985,"endHours":18.833934761024985,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.833934761024985,"endHours":19.833934761024985,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.833934761024985,"endHours":20.833934761024985,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.833934761024985,"endHours":21.833934761024985,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.833934761024985,"endHours":22.833934761024985,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.833934761024985,"endHours":23.833934761024985,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.833934761024985,"endHours":24.833934761024985,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.833934761024985,"endHours":25.833934761024985,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.833934761024985,"endHours":26.833934761024985,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.833934761024985,"endHours":27.833934761024985,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.833934761024985,"endHours":28.833934761024985,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.833934761024985,"endHours":29.833934761024985,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.833934761024985,"endHours":30.833934761024985,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.090008800107835,"eotMinutes":-3.2562349238053434,"ayanamsa":26.116}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 31, 2161 CE · Ayodhyā · Vidhyamitra","description":"December 31, 2161 CE for Ayodhyā: Śukla Caturdaśī, sūryodaya 06:50, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2161-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2161-12-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/2161-12-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/2161-12-31","x-default":"https://vidhyamitra.com/city/ayodhya/2161-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:44:49.792Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T21:44:49.792Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:44:49.792Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}