{"id":"vidhyamitra:city-day:ujjain:2159-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2159-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-12","date_display":"December 12, 2159 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":2159,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509963.770833,"kali_year":5261,"ahargana":1921498.2708,"sun":{"sidereal_longitude":232.826,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.5935,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.7675,"elapsed_within_tithi_degrees":3.7675},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.5935,"elapsed_within_degrees":7.2602},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.4195},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2159,"month":12,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509963.770833,"ahargana":1921498.2708,"kali_year":5261,"ayanamsa_lahiri":26.0873,"grahas":{"sun":{"sidereal_longitude":233.64108399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":258.279584,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.8438},"mars":{"sidereal_longitude":306.346084,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":236.34398399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":188.32738399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":198.58448399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":189.233784,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":249.7747,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.7747,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509963.770833,"kali_year":5261,"ahargana":1921498.2708,"sun":{"sidereal_longitude":232.826,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.5935,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.7675,"elapsed_within_tithi_degrees":3.7675},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.5935,"elapsed_within_degrees":7.2602},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.4195},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.844,"elongation":27.768},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.844,"opposition_distance":152.232}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":"06:59","sunsetLocal":"17:43","solarNoonLocal":"12:21","dayLengthHours":10.734605366196142,"dayLengthDisplay":"10 Hours 44 Mins 05 Secs","nightLengthDisplay":"13 Hours 15 Mins 55 Secs","moonriseLocal":"08:38","moonsetLocal":"19:21","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:42","startHours":12.355075182314781,"endHours":13.6969008530893,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:20","end":"09:40","startHours":8.329598169991229,"endHours":9.671423840765748,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:01","end":"12:21","startHours":11.013249511540264,"endHours":12.355075182314781,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.492513751329145,"endHours":9.85033393020235,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.435047722808217,"endHours":7.721303865906781,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:43","startHours":11.997255003441577,"endHours":12.712895361187986,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:16","startHours":5.556491783723892,"endHours":6.272132141470301,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:06","end":"06:59","startHours":6.093222052033699,"endHours":6.987772499216711,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:52","startHours":14.144176076680806,"endHours":14.859816434427215,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.522377865412853,"endHours":17.92237786541285,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:10","startHours":17.722377865412852,"endHours":18.16965308900436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.472377865412852,"endHours":19.222377865412852,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:43","startHours":23.997255003441577,"endHours":24.712895361187986,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:59","end":"08:20","startHours":6.987772499216711,"endHours":8.329598169991229,"quality":"auspicious"},{"name":"Amṛta","start":"08:20","end":"09:40","startHours":8.329598169991229,"endHours":9.671423840765748,"quality":"auspicious"},{"name":"Kāla","start":"09:40","end":"11:01","startHours":9.671423840765748,"endHours":11.013249511540264,"quality":"inauspicious"},{"name":"Śubha","start":"11:01","end":"12:21","startHours":11.013249511540264,"endHours":12.355075182314781,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:42","startHours":12.355075182314781,"endHours":13.6969008530893,"quality":"inauspicious"},{"name":"Udveg","start":"13:42","end":"15:02","startHours":13.6969008530893,"endHours":15.038726523863819,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:23","startHours":15.038726523863819,"endHours":16.380552194638334,"quality":"neutral"},{"name":"Labha","start":"16:23","end":"17:43","startHours":16.380552194638334,"endHours":17.722377865412852,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:43","end":"19:23","startHours":17.722377865412852,"endHours":19.380552194638334,"quality":"inauspicious"},{"name":"Chala","start":"19:23","end":"21:02","startHours":19.380552194638334,"endHours":21.038726523863815,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:42","startHours":21.038726523863815,"endHours":22.6969008530893,"quality":"auspicious"},{"name":"Amṛta","start":"22:42","end":"00:21","startHours":22.6969008530893,"endHours":24.35507518231478,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"02:01","startHours":24.35507518231478,"endHours":26.013249511540263,"quality":"inauspicious"},{"name":"Śubha","start":"02:01","end":"03:40","startHours":26.013249511540263,"endHours":27.671423840765748,"quality":"auspicious"},{"name":"Roga","start":"03:40","end":"05:20","startHours":27.671423840765748,"endHours":29.32959816999123,"quality":"inauspicious"},{"name":"Udveg","start":"05:20","end":"06:59","startHours":29.32959816999123,"endHours":30.98777249921671,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.987772499216711,"endHours":7.987772499216711,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.987772499216711,"endHours":8.98777249921671,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.98777249921671,"endHours":9.98777249921671,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.98777249921671,"endHours":10.98777249921671,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.98777249921671,"endHours":11.98777249921671,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.98777249921671,"endHours":12.98777249921671,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.98777249921671,"endHours":13.98777249921671,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.98777249921671,"endHours":14.98777249921671,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.98777249921671,"endHours":15.98777249921671,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.98777249921671,"endHours":16.98777249921671,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.98777249921671,"endHours":17.98777249921671,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.98777249921671,"endHours":18.98777249921671,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.98777249921671,"endHours":19.98777249921671,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.98777249921671,"endHours":20.98777249921671,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.98777249921671,"endHours":21.98777249921671,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.98777249921671,"endHours":22.98777249921671,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.98777249921671,"endHours":23.98777249921671,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.98777249921671,"endHours":24.98777249921671,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.98777249921671,"endHours":25.98777249921671,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.98777249921671,"endHours":26.98777249921671,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.98777249921671,"endHours":27.98777249921671,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.98777249921671,"endHours":28.98777249921671,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.98777249921671,"endHours":29.98777249921671,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.98777249921671,"endHours":30.98777249921671,"planetary_lord":"Sun"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","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":-23.039036989995978,"eotMinutes":5.541489061113115,"ayanamsa":26.0873}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 Tṛtīyā · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 12, 2159 CE · Ujjain · Vidhyamitra","description":"December 12, 2159 CE for Ujjain: Śukla Tṛtīyā, sūryodaya 06:59, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2159-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2159-12-12","sa":"https://sa.vidhyamitra.com/city/ujjain/2159-12-12","hi":"https://hi.vidhyamitra.com/city/ujjain/2159-12-12","x-default":"https://vidhyamitra.com/city/ujjain/2159-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T04:10:21.694Z","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":"2026-05-31T04:10:21.694Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T04:10:21.694Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}