{"id":"vidhyamitra:city-day:ujjain:2139-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2139-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-12-13","date_display":"December 13, 2139 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":2139,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502659.770833,"kali_year":5241,"ahargana":1914194.2708,"sun":{"sidereal_longitude":234.0298,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.5147,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.4849,"elapsed_within_tithi_degrees":2.4849},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.5147,"elapsed_within_degrees":7.1814},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.5446},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2139,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502659.770833,"ahargana":1914194.2708,"kali_year":5241,"ayanamsa_lahiri":25.8079,"grahas":{"sun":{"sidereal_longitude":234.7870499999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":141.88504999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-3.1095},"mars":{"sidereal_longitude":153.53895,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":235.15224999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":282.71765000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":270.94065,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":286.6203499999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":276.7758,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":96.7758,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2139,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502659.770833,"kali_year":5241,"ahargana":1914194.2708,"sun":{"sidereal_longitude":234.0298,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":140.5147,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":266.4849,"elapsed_within_tithi_degrees":2.4849},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.5147,"elapsed_within_degrees":7.1814},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.5446},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.11,"elongation":93.515},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.11,"opposition_distance":86.485}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:00","sunsetLocal":"17:44","solarNoonLocal":"12:22","dayLengthHours":10.730291840817276,"dayLengthDisplay":"10 Hours 43 Mins 49 Secs","nightLengthDisplay":"13 Hours 16 Mins 11 Secs","moonriseLocal":"23:59","moonsetLocal":"12:21","rahuKala":{"name":"Rāhu Kāla","start":"16:23","end":"17:44","startHours":16.386448602816177,"endHours":17.727735082918336,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:22","end":"13:42","startHours":12.362589162509696,"endHours":13.703875642611855,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:23","startHours":15.045162122714018,"endHours":16.386448602816177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.501178004958422,"endHours":9.858854399652333,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:44","startHours":7.444538735468445,"endHours":7.730679851223572,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:43","startHours":12.004912767815789,"endHours":12.720265557203607,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:34","end":"06:17","startHours":5.566737663325422,"endHours":6.28209045271324,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"07:00","startHours":6.103252255366286,"endHours":6.997443242101059,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:52","startHours":14.150971135979244,"endHours":14.866323925367062,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.527735082918337,"endHours":17.927735082918336,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.727735082918336,"endHours":18.17483057628572,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.477735082918336,"endHours":19.227735082918336,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:43","startHours":24.00491276781579,"endHours":24.72026555720361,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:00","end":"08:20","startHours":6.997443242101059,"endHours":8.338729722203219,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:41","startHours":8.338729722203219,"endHours":9.680016202305378,"quality":"neutral"},{"name":"Labha","start":"09:41","end":"11:01","startHours":9.680016202305378,"endHours":11.021302682407537,"quality":"auspicious"},{"name":"Amṛta","start":"11:01","end":"12:22","startHours":11.021302682407537,"endHours":12.362589162509696,"quality":"auspicious"},{"name":"Kāla","start":"12:22","end":"13:42","startHours":12.362589162509696,"endHours":13.703875642611855,"quality":"inauspicious"},{"name":"Śubha","start":"13:42","end":"15:03","startHours":13.703875642611855,"endHours":15.045162122714018,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:23","startHours":15.045162122714018,"endHours":16.386448602816177,"quality":"inauspicious"},{"name":"Udveg","start":"16:23","end":"17:44","startHours":16.386448602816177,"endHours":17.727735082918336,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:44","end":"19:23","startHours":17.727735082918336,"endHours":19.386448602816177,"quality":"auspicious"},{"name":"Roga","start":"19:23","end":"21:03","startHours":19.386448602816177,"endHours":21.045162122714018,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:42","startHours":21.045162122714018,"endHours":22.703875642611855,"quality":"inauspicious"},{"name":"Chala","start":"22:42","end":"00:22","startHours":22.703875642611855,"endHours":24.3625891625097,"quality":"neutral"},{"name":"Labha","start":"00:22","end":"02:01","startHours":24.3625891625097,"endHours":26.021302682407537,"quality":"auspicious"},{"name":"Amṛta","start":"02:01","end":"03:41","startHours":26.021302682407537,"endHours":27.680016202305378,"quality":"auspicious"},{"name":"Kāla","start":"03:41","end":"05:20","startHours":27.680016202305378,"endHours":29.33872972220322,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:00","startHours":29.33872972220322,"endHours":30.99744324210106,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":6.997443242101059,"endHours":7.997443242101059,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":7.997443242101059,"endHours":8.99744324210106,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":8.99744324210106,"endHours":9.99744324210106,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":9.99744324210106,"endHours":10.99744324210106,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":10.99744324210106,"endHours":11.99744324210106,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":11.99744324210106,"endHours":12.99744324210106,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":12.99744324210106,"endHours":13.99744324210106,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":13.99744324210106,"endHours":14.99744324210106,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":14.99744324210106,"endHours":15.99744324210106,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":15.99744324210106,"endHours":16.99744324210106,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":16.99744324210106,"endHours":17.99744324210106,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":17.99744324210106,"endHours":18.99744324210106,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":18.99744324210106,"endHours":19.99744324210106,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":19.99744324210106,"endHours":20.99744324210106,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":20.99744324210106,"endHours":21.99744324210106,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":21.99744324210106,"endHours":22.99744324210106,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":22.99744324210106,"endHours":23.99744324210106,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":23.99744324210106,"endHours":24.99744324210106,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":24.99744324210106,"endHours":25.99744324210106,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":25.99744324210106,"endHours":26.99744324210106,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":26.99744324210106,"endHours":27.99744324210106,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":27.99744324210106,"endHours":28.99744324210106,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":28.99744324210106,"endHours":29.99744324210106,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":29.99744324210106,"endHours":30.99744324210106,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.103047908560686,"eotMinutes":5.090650249418121,"ayanamsa":25.8079}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2139 CE · Ujjain · Vidhyamitra","description":"December 13, 2139 CE for Ujjain: Kṛṣṇa Aṣṭamī, sūryodaya 07:00, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2139-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2139-12-13","sa":"https://sa.vidhyamitra.com/city/ujjain/2139-12-13","hi":"https://hi.vidhyamitra.com/city/ujjain/2139-12-13","x-default":"https://vidhyamitra.com/city/ujjain/2139-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T10:16:06.377Z","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":"2026-05-19T10:16:06.377Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T10:16:06.377Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}