{"id":"vidhyamitra:city-day:howrah:2102-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/howrah/2102-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-12-13","date_display":"December 13, 2102 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":2102,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489145.770833,"kali_year":5204,"ahargana":1900680.2708,"sun":{"sidereal_longitude":234.618,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":269.8301,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.2121,"elapsed_within_tithi_degrees":11.2121},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.8301,"elapsed_within_degrees":3.1635},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.4481},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2102,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489145.770833,"ahargana":1900680.2708,"kali_year":5204,"ayanamsa_lahiri":25.2911,"grahas":{"sun":{"sidereal_longitude":235.28258400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":273.17788399999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-0.2339},"mars":{"sidereal_longitude":227.52968399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.45108400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":246.34728399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":252.327584,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":209.79598399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":272.8125,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.8125,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2102,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489145.770833,"kali_year":5204,"ahargana":1900680.2708,"sun":{"sidereal_longitude":234.618,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":269.8301,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.2121,"elapsed_within_tithi_degrees":11.2121},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.8301,"elapsed_within_degrees":3.1635},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.4481},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.234,"elongation":35.212},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.234,"opposition_distance":144.788}},"eclipse_window_40days":[]},"city":{"slug":"howrah","name":"Howrah, West Bengal","lat":22.5958,"lon":88.2636,"tz_offset_hours":5.5,"state":"West Bengal","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"howrah","name":"Howrah, West Bengal","lat":22.5958,"lon":88.2636,"tz_offset_hours":5.5,"state":"West Bengal","country":"IN","tier":"tier-1"},"sunriseLocal":"06:09","sunsetLocal":"16:55","solarNoonLocal":"11:32","dayLengthHours":10.769265537858727,"dayLengthDisplay":"10 Hours 46 Mins 09 Secs","nightLengthDisplay":"13 Hours 13 Mins 51 Secs","moonriseLocal":"08:36","moonsetLocal":"19:30","rahuKala":{"name":"Rāhu Kāla","start":"11:32","end":"12:53","startHours":11.530915829176365,"endHours":12.877074021408706,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:30","end":"08:50","startHours":7.492441252479344,"endHours":8.838599444711685,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:11","end":"11:32","startHours":10.184757636944024,"endHours":11.530915829176365,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:01","startHours":8.659111685747373,"endHours":9.018087203675996,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:53","startHours":6.595002457657783,"endHours":6.882182872000683,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:53","startHours":11.171940311247742,"endHours":11.889891347104989,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:26","startHours":4.710380988532505,"endHours":5.4283320243897535,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:09","startHours":5.248844265425442,"endHours":6.146283060247002,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:20","end":"14:03","startHours":13.325793418819487,"endHours":14.043744454676736,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:43","end":"17:07","startHours":16.71554859810573,"endHours":17.11554859810573,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:55","end":"17:22","startHours":16.91554859810573,"endHours":17.36426799551651,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:40","end":"18:25","startHours":16.66554859810573,"endHours":18.41554859810573,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:53","startHours":23.17194031124774,"endHours":23.88989134710499,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:09","end":"07:30","startHours":6.146283060247002,"endHours":7.492441252479344,"quality":"auspicious"},{"name":"Amṛta","start":"07:30","end":"08:50","startHours":7.492441252479344,"endHours":8.838599444711685,"quality":"auspicious"},{"name":"Kāla","start":"08:50","end":"10:11","startHours":8.838599444711685,"endHours":10.184757636944024,"quality":"inauspicious"},{"name":"Śubha","start":"10:11","end":"11:32","startHours":10.184757636944024,"endHours":11.530915829176365,"quality":"auspicious"},{"name":"Roga","start":"11:32","end":"12:53","startHours":11.530915829176365,"endHours":12.877074021408706,"quality":"inauspicious"},{"name":"Udveg","start":"12:53","end":"14:13","startHours":12.877074021408706,"endHours":14.223232213641047,"quality":"inauspicious"},{"name":"Chala","start":"14:13","end":"15:34","startHours":14.223232213641047,"endHours":15.569390405873389,"quality":"neutral"},{"name":"Labha","start":"15:34","end":"16:55","startHours":15.569390405873389,"endHours":16.91554859810573,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"16:55","end":"18:34","startHours":16.91554859810573,"endHours":18.56939040587339,"quality":"inauspicious"},{"name":"Chala","start":"18:34","end":"20:13","startHours":18.56939040587339,"endHours":20.223232213641047,"quality":"neutral"},{"name":"Labha","start":"20:13","end":"21:53","startHours":20.223232213641047,"endHours":21.877074021408706,"quality":"auspicious"},{"name":"Amṛta","start":"21:53","end":"23:32","startHours":21.877074021408706,"endHours":23.530915829176365,"quality":"auspicious"},{"name":"Kāla","start":"23:32","end":"01:11","startHours":23.530915829176365,"endHours":25.184757636944028,"quality":"inauspicious"},{"name":"Śubha","start":"01:11","end":"02:50","startHours":25.184757636944028,"endHours":26.838599444711683,"quality":"auspicious"},{"name":"Roga","start":"02:50","end":"04:30","startHours":26.838599444711683,"endHours":28.492441252479345,"quality":"inauspicious"},{"name":"Udveg","start":"04:30","end":"06:09","startHours":28.492441252479345,"endHours":30.146283060247,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.146283060247002,"endHours":7.146283060247002,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.146283060247002,"endHours":8.146283060247002,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.146283060247002,"endHours":9.146283060247002,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.146283060247002,"endHours":10.146283060247002,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.146283060247002,"endHours":11.146283060247002,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.146283060247002,"endHours":12.146283060247002,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.146283060247002,"endHours":13.146283060247002,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.146283060247002,"endHours":14.146283060247002,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.146283060247002,"endHours":15.146283060247002,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.146283060247002,"endHours":16.146283060247,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.146283060247,"endHours":17.146283060247,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.146283060247,"endHours":18.146283060247,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.146283060247,"endHours":19.146283060247,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.146283060247,"endHours":20.146283060247,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.146283060247,"endHours":21.146283060247,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.146283060247,"endHours":22.146283060247,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.146283060247,"endHours":23.146283060247,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.146283060247,"endHours":24.146283060247,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.146283060247,"endHours":25.146283060247,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.146283060247,"endHours":26.146283060247,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.146283060247,"endHours":27.146283060247,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.146283060247,"endHours":28.146283060247,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.146283060247,"endHours":29.146283060247,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.146283060247,"endHours":30.146283060247,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","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":-23.101543542958765,"eotMinutes":5.090650249418121,"ayanamsa":25.2911}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"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 2159 Yuva · Śaka 2024 Dundubhi"},"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":"howrah"},"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, 2102 CE · Howrah, West Bengal · Vidhyamitra","description":"December 13, 2102 CE for Howrah, West Bengal: Śukla Tṛtīyā, sūryodaya 06:09, sūryāsta 16:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/howrah/2102-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/howrah/2102-12-13","sa":"https://sa.vidhyamitra.com/city/howrah/2102-12-13","hi":"https://hi.vidhyamitra.com/city/howrah/2102-12-13","x-default":"https://vidhyamitra.com/city/howrah/2102-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T07:29:56.718Z","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":"2026-06-03T07:29:56.718Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T07:29:56.718Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}