{"id":"vidhyamitra:city-day:ranchi:2157-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2157-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-12-07","date_display":"December 7, 2157 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":2157,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509228.770833,"kali_year":5259,"ahargana":1920763.2708,"sun":{"sidereal_longitude":228.2382,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":289.0121,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.7739,"elapsed_within_tithi_degrees":0.7739},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.0121,"elapsed_within_degrees":9.0121},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.2503},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2157,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509228.770833,"ahargana":1920763.2708,"kali_year":5259,"ayanamsa_lahiri":26.0592,"grahas":{"sun":{"sidereal_longitude":229.08606599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":287.60006599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":0.023},"mars":{"sidereal_longitude":282.67396599999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":207.78536600000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":135.24206600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":213.69796599999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":166.64586600000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":288.7186,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":108.7186,"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":2157,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509228.770833,"kali_year":5259,"ahargana":1920763.2708,"sun":{"sidereal_longitude":228.2382,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":289.0121,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":60.7739,"elapsed_within_tithi_degrees":0.7739},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.0121,"elapsed_within_degrees":9.0121},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.2503},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.023,"elongation":60.774},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.023,"opposition_distance":119.226}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:18","sunsetLocal":"17:04","solarNoonLocal":"11:41","dayLengthHours":10.752468960861048,"dayLengthDisplay":"10 Hours 45 Mins 09 Secs","nightLengthDisplay":"13 Hours 14 Mins 51 Secs","moonriseLocal":"10:02","moonsetLocal":"21:08","rahuKala":{"name":"Rāhu Kāla","start":"11:41","end":"13:02","startHours":11.683965057944379,"endHours":13.02802367805201,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:39","end":"09:00","startHours":7.651789197621486,"endHours":8.995847817729118,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:20","end":"11:41","startHours":10.339906437836747,"endHours":11.683965057944379,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:11","startHours":8.816640001714767,"endHours":9.175055633743467,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:03","startHours":6.755750117549732,"endHours":7.042482623172693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:03","startHours":11.325549425915677,"endHours":12.042380689973081,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:35","startHours":4.874068049399049,"endHours":5.590899313456451,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:18","startHours":5.411691497442101,"endHours":6.307730577513855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:12","startHours":13.476043218087886,"endHours":14.192874482145289,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:52","end":"17:16","startHours":16.860199538374903,"endHours":17.260199538374902,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:04","end":"17:30","startHours":17.060199538374903,"endHours":17.50821907841078,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:49","end":"18:34","startHours":16.810199538374903,"endHours":18.560199538374903,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:03","startHours":23.325549425915675,"endHours":24.04238068997308,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:18","end":"07:39","startHours":6.307730577513855,"endHours":7.651789197621486,"quality":"auspicious"},{"name":"Amṛta","start":"07:39","end":"09:00","startHours":7.651789197621486,"endHours":8.995847817729118,"quality":"auspicious"},{"name":"Kāla","start":"09:00","end":"10:20","startHours":8.995847817729118,"endHours":10.339906437836747,"quality":"inauspicious"},{"name":"Śubha","start":"10:20","end":"11:41","startHours":10.339906437836747,"endHours":11.683965057944379,"quality":"auspicious"},{"name":"Roga","start":"11:41","end":"13:02","startHours":11.683965057944379,"endHours":13.02802367805201,"quality":"inauspicious"},{"name":"Udveg","start":"13:02","end":"14:22","startHours":13.02802367805201,"endHours":14.37208229815964,"quality":"inauspicious"},{"name":"Chala","start":"14:22","end":"15:43","startHours":14.37208229815964,"endHours":15.716140918267271,"quality":"neutral"},{"name":"Labha","start":"15:43","end":"17:04","startHours":15.716140918267271,"endHours":17.060199538374903,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:04","end":"18:43","startHours":17.060199538374903,"endHours":18.71614091826727,"quality":"inauspicious"},{"name":"Chala","start":"18:43","end":"20:22","startHours":18.71614091826727,"endHours":20.37208229815964,"quality":"neutral"},{"name":"Labha","start":"20:22","end":"22:02","startHours":20.37208229815964,"endHours":22.02802367805201,"quality":"auspicious"},{"name":"Amṛta","start":"22:02","end":"23:41","startHours":22.02802367805201,"endHours":23.683965057944377,"quality":"auspicious"},{"name":"Kāla","start":"23:41","end":"01:20","startHours":23.683965057944377,"endHours":25.339906437836746,"quality":"inauspicious"},{"name":"Śubha","start":"01:20","end":"03:00","startHours":25.339906437836746,"endHours":26.995847817729118,"quality":"auspicious"},{"name":"Roga","start":"03:00","end":"04:39","startHours":26.995847817729118,"endHours":28.651789197621486,"quality":"inauspicious"},{"name":"Udveg","start":"04:39","end":"06:18","startHours":28.651789197621486,"endHours":30.307730577513855,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.307730577513855,"endHours":7.307730577513855,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.307730577513855,"endHours":8.307730577513855,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.307730577513855,"endHours":9.307730577513855,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.307730577513855,"endHours":10.307730577513855,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.307730577513855,"endHours":11.307730577513855,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.307730577513855,"endHours":12.307730577513855,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.307730577513855,"endHours":13.307730577513855,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.307730577513855,"endHours":14.307730577513855,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.307730577513855,"endHours":15.307730577513855,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.307730577513855,"endHours":16.307730577513855,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.307730577513855,"endHours":17.307730577513855,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.307730577513855,"endHours":18.307730577513855,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.307730577513855,"endHours":19.307730577513855,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.307730577513855,"endHours":20.307730577513855,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.307730577513855,"endHours":21.307730577513855,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.307730577513855,"endHours":22.307730577513855,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.307730577513855,"endHours":23.307730577513855,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.307730577513855,"endHours":24.307730577513855,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.307730577513855,"endHours":25.307730577513855,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.307730577513855,"endHours":26.307730577513855,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.307730577513855,"endHours":27.307730577513855,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.307730577513855,"endHours":28.307730577513855,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.307730577513855,"endHours":29.307730577513855,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.307730577513855,"endHours":30.307730577513855,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.608967636169666,"eotMinutes":7.723696523337262,"ayanamsa":26.0592}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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 Ṣaṣṭhī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 7, 2157 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 7, 2157 CE for Ranchi, Jharkhand: Śukla Ṣaṣṭhī, sūryodaya 06:18, sūryāsta 17:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2157-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2157-12-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2157-12-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2157-12-07","x-default":"https://vidhyamitra.com/city/ranchi/2157-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:00:51.742Z","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":"2026-05-31T23:00:51.742Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:00:51.742Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}