{"id":"vidhyamitra:city-day:ayodhya:2064-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2064-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2064-12-15","date_display":"December 15, 2064 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":2064,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475269.770833,"kali_year":5166,"ahargana":1886804.2708,"sun":{"sidereal_longitude":238.5479,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":320.9438,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.3959,"elapsed_within_tithi_degrees":10.3959},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.9438,"elapsed_within_degrees":0.9438},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.4917},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2064,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475269.770833,"ahargana":1886804.2708,"kali_year":5166,"ayanamsa_lahiri":24.7604,"grahas":{"sun":{"sidereal_longitude":239.08974999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":322.31145000000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":2.4434},"mars":{"sidereal_longitude":186.12775,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":216.88535000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":188.46005000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":284.82574999999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":107.98525000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":288.0298,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":108.0298,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":2064,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475269.770833,"kali_year":5166,"ahargana":1886804.2708,"sun":{"sidereal_longitude":238.5479,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":320.9438,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":82.3959,"elapsed_within_tithi_degrees":10.3959},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.9438,"elapsed_within_degrees":0.9438},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.4917},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.443,"elongation":82.396},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.443,"opposition_distance":97.604}},"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":"06:43","sunsetLocal":"17:11","solarNoonLocal":"11:57","dayLengthHours":10.463786780665444,"dayLengthDisplay":"10 Hours 27 Mins 50 Secs","nightLengthDisplay":"13 Hours 32 Mins 10 Secs","moonriseLocal":"11:38","moonsetLocal":"23:22","rahuKala":{"name":"Rāhu Kāla","start":"08:02","end":"09:20","startHours":8.026181040024255,"endHours":9.334154387607438,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"11:57","startHours":10.642127735190616,"endHours":11.950101082773799,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:15","end":"14:34","startHours":13.258074430356977,"endHours":14.56604777794016,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:31","startHours":9.159757941263013,"endHours":9.50855083395186,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:09","end":"07:26","startHours":7.1541988083021355,"endHours":7.433233122453214,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.60130819008495,"endHours":12.298893975462647,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:19","end":"06:01","startHours":5.323036121685683,"endHours":6.020621907063379,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:43","startHours":5.846225460718955,"endHours":6.718207692441076,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:23","startHours":13.694065546218038,"endHours":14.391651331595734,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.98199447310652,"endHours":17.38199447310652,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:37","startHours":17.18199447310652,"endHours":17.61798558896758,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.93199447310652,"endHours":18.68199447310652,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.60130819008495,"endHours":24.298893975462647,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:43","end":"08:02","startHours":6.718207692441076,"endHours":8.026181040024255,"quality":"auspicious"},{"name":"Kāla","start":"08:02","end":"09:20","startHours":8.026181040024255,"endHours":9.334154387607438,"quality":"inauspicious"},{"name":"Śubha","start":"09:20","end":"10:39","startHours":9.334154387607438,"endHours":10.642127735190616,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"11:57","startHours":10.642127735190616,"endHours":11.950101082773799,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:15","startHours":11.950101082773799,"endHours":13.258074430356977,"quality":"inauspicious"},{"name":"Chala","start":"13:15","end":"14:34","startHours":13.258074430356977,"endHours":14.56604777794016,"quality":"neutral"},{"name":"Labha","start":"14:34","end":"15:52","startHours":14.56604777794016,"endHours":15.874021125523338,"quality":"auspicious"},{"name":"Amṛta","start":"15:52","end":"17:11","startHours":15.874021125523338,"endHours":17.18199447310652,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:11","end":"18:52","startHours":17.18199447310652,"endHours":18.874021125523342,"quality":"neutral"},{"name":"Labha","start":"18:52","end":"20:34","startHours":18.874021125523342,"endHours":20.56604777794016,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"22:15","startHours":20.56604777794016,"endHours":22.258074430356977,"quality":"auspicious"},{"name":"Kāla","start":"22:15","end":"23:57","startHours":22.258074430356977,"endHours":23.9501010827738,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:39","startHours":23.9501010827738,"endHours":25.64212773519062,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:20","startHours":25.64212773519062,"endHours":27.334154387607438,"quality":"inauspicious"},{"name":"Udveg","start":"03:20","end":"05:02","startHours":27.334154387607438,"endHours":29.026181040024255,"quality":"inauspicious"},{"name":"Chala","start":"05:02","end":"06:43","startHours":29.026181040024255,"endHours":30.718207692441077,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:43","end":"07:43","startHours":6.718207692441076,"endHours":7.718207692441076,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:43","end":"08:43","startHours":7.718207692441076,"endHours":8.718207692441077,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:43","end":"09:43","startHours":8.718207692441077,"endHours":9.718207692441077,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:43","end":"10:43","startHours":9.718207692441077,"endHours":10.718207692441077,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:43","end":"11:43","startHours":10.718207692441077,"endHours":11.718207692441077,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:43","end":"12:43","startHours":11.718207692441077,"endHours":12.718207692441077,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:43","end":"13:43","startHours":12.718207692441077,"endHours":13.718207692441077,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:43","end":"14:43","startHours":13.718207692441077,"endHours":14.718207692441077,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:43","end":"15:43","startHours":14.718207692441077,"endHours":15.718207692441077,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:43","end":"16:43","startHours":15.718207692441077,"endHours":16.718207692441077,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:43","end":"17:43","startHours":16.718207692441077,"endHours":17.718207692441077,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:43","end":"18:43","startHours":17.718207692441077,"endHours":18.718207692441077,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:43","end":"19:43","startHours":18.718207692441077,"endHours":19.718207692441077,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:43","end":"20:43","startHours":19.718207692441077,"endHours":20.718207692441077,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:43","end":"21:43","startHours":20.718207692441077,"endHours":21.718207692441077,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:43","end":"22:43","startHours":21.718207692441077,"endHours":22.718207692441077,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:43","end":"23:43","startHours":22.718207692441077,"endHours":23.718207692441077,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:43","end":"00:43","startHours":23.718207692441077,"endHours":24.718207692441077,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:43","end":"01:43","startHours":24.718207692441077,"endHours":25.718207692441077,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:43","end":"02:43","startHours":25.718207692441077,"endHours":26.718207692441077,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:43","end":"03:43","startHours":26.718207692441077,"endHours":27.718207692441077,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:43","end":"04:43","startHours":27.718207692441077,"endHours":28.718207692441077,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:43","end":"05:43","startHours":28.718207692441077,"endHours":29.718207692441077,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:43","end":"06:43","startHours":29.718207692441077,"endHours":30.718207692441077,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.293640371711216,"eotMinutes":4.177935033572184,"ayanamsa":24.7604}},"calendars":{"vikram_samvat":2121,"vikram_samvatsara":"Hemalambī","saka_samvat":1986,"saka_samvatsara":"Tāraṇa","bengali_samvat":1471,"malayalam_era":1240,"nanakshahi_year":595,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2121 Hemalambī · Śaka 1986 Tāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 2064 CE · Ayodhyā · Vidhyamitra","description":"December 15, 2064 CE for Ayodhyā: Śukla Saptamī, sūryodaya 06:43, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2064-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2064-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/2064-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/2064-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/2064-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:04:16.296Z","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":"2026-05-31T11:04:16.296Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:04:16.296Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}