{"id":"vidhyamitra:city-day:thane:2181-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/thane/2181-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-12-13","date_display":"December 13, 2181 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":2181,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518000.770833,"kali_year":5283,"ahargana":1929535.2708,"sun":{"sidereal_longitude":234.1653,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.37,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.2047,"elapsed_within_tithi_degrees":1.2047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.37,"elapsed_within_degrees":12.7034},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5354},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2181,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2518000.770833,"ahargana":1929535.2708,"kali_year":5283,"ayanamsa_lahiri":26.3947,"grahas":{"sun":{"sidereal_longitude":235.021611,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":323.521611,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":3.1561},"mars":{"sidereal_longitude":226.968611,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":248.56621100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":143.62211100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":202.65141100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":95.64411100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":183.9358,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.9358,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2181,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2518000.770833,"kali_year":5283,"ahargana":1929535.2708,"sun":{"sidereal_longitude":234.1653,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.37,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":85.2047,"elapsed_within_tithi_degrees":1.2047},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.37,"elapsed_within_degrees":12.7034},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5354},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.156,"elongation":85.205},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.156,"opposition_distance":94.795}},"eclipse_window_40days":[]},"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"07:03","sunsetLocal":"18:03","solarNoonLocal":"12:33","dayLengthHours":10.9858341591288,"dayLengthDisplay":"10 Hours 59 Mins 09 Secs","nightLengthDisplay":"13 Hours 00 Mins 51 Secs","moonriseLocal":"12:30","moonsetLocal":"00:24","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:18","startHours":13.923178432400796,"endHours":15.296407702291898,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:26","startHours":7.057032082945297,"endHours":8.430261352836396,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:48","end":"11:11","startHours":9.803490622727498,"endHours":11.176719892618596,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:59","startHours":9.620393386742016,"endHours":9.986587858712976,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.5147751729089975,"endHours":7.807730750485765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.183754690538738,"endHours":12.916143634480658,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:19","startHours":5.592254195061457,"endHours":6.324643139003378,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:03","startHours":6.141545903017898,"endHours":7.057032082945297,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.380921522364497,"endHours":15.113310466306418,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.8428662420741,"endHours":18.242866242074097,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:30","startHours":18.042866242074098,"endHours":18.500609332037797,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.792866242074098,"endHours":19.542866242074098,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.183754690538738,"endHours":24.916143634480658,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:03","end":"08:26","startHours":7.057032082945297,"endHours":8.430261352836396,"quality":"auspicious"},{"name":"Roga","start":"08:26","end":"09:48","startHours":8.430261352836396,"endHours":9.803490622727498,"quality":"inauspicious"},{"name":"Udveg","start":"09:48","end":"11:11","startHours":9.803490622727498,"endHours":11.176719892618596,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:33","startHours":11.176719892618596,"endHours":12.549949162509698,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:55","startHours":12.549949162509698,"endHours":13.923178432400796,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:18","startHours":13.923178432400796,"endHours":15.296407702291898,"quality":"auspicious"},{"name":"Kāla","start":"15:18","end":"16:40","startHours":15.296407702291898,"endHours":16.669636972182996,"quality":"inauspicious"},{"name":"Śubha","start":"16:40","end":"18:03","startHours":16.669636972182996,"endHours":18.042866242074098,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:40","startHours":18.042866242074098,"endHours":19.669636972183,"quality":"auspicious"},{"name":"Kāla","start":"19:40","end":"21:18","startHours":19.669636972183,"endHours":21.296407702291898,"quality":"inauspicious"},{"name":"Śubha","start":"21:18","end":"22:55","startHours":21.296407702291898,"endHours":22.923178432400796,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:33","startHours":22.923178432400796,"endHours":24.549949162509698,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:11","startHours":24.549949162509698,"endHours":26.1767198926186,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:48","startHours":26.1767198926186,"endHours":27.803490622727498,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"05:26","startHours":27.803490622727498,"endHours":29.430261352836396,"quality":"auspicious"},{"name":"Amṛta","start":"05:26","end":"07:03","startHours":29.430261352836396,"endHours":31.057032082945298,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.057032082945297,"endHours":8.057032082945298,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.057032082945298,"endHours":9.057032082945298,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.057032082945298,"endHours":10.057032082945298,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.057032082945298,"endHours":11.057032082945298,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.057032082945298,"endHours":12.057032082945298,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.057032082945298,"endHours":13.057032082945298,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.057032082945298,"endHours":14.057032082945298,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.057032082945298,"endHours":15.057032082945298,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.057032082945298,"endHours":16.057032082945298,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.057032082945298,"endHours":17.057032082945298,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.057032082945298,"endHours":18.057032082945298,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.057032082945298,"endHours":19.057032082945298,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.057032082945298,"endHours":20.057032082945298,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.057032082945298,"endHours":21.057032082945298,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.057032082945298,"endHours":22.057032082945298,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.057032082945298,"endHours":23.057032082945298,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.057032082945298,"endHours":24.057032082945298,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.057032082945298,"endHours":25.057032082945298,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.057032082945298,"endHours":26.057032082945298,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.057032082945298,"endHours":27.057032082945298,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.057032082945298,"endHours":28.057032082945298,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.057032082945298,"endHours":29.057032082945298,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.057032082945298,"endHours":30.057032082945298,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.057032082945298,"endHours":31.057032082945298,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","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":-23.15858465824035,"eotMinutes":5.090650249418121,"ayanamsa":26.3947}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"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 Aṣṭamī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"thane"},"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, 2181 CE · Thane, Maharashtra · Vidhyamitra","description":"December 13, 2181 CE for Thane, Maharashtra: Śukla Aṣṭamī, sūryodaya 07:03, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/thane/2181-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/thane/2181-12-13","sa":"https://sa.vidhyamitra.com/city/thane/2181-12-13","hi":"https://hi.vidhyamitra.com/city/thane/2181-12-13","x-default":"https://vidhyamitra.com/city/thane/2181-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:27:25.853Z","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":"2026-05-31T09:27:25.853Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:27:25.853Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}