{"id":"vidhyamitra:city-day:ranchi:2015-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2015-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-12-04","date_display":"December 4, 2015 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":2015,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457360.770833,"kali_year":5117,"ahargana":1868895.2708,"sun":{"sidereal_longitude":226.9534,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":143.7183,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.7649,"elapsed_within_tithi_degrees":0.7649},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.7183,"elapsed_within_degrees":10.385},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.6717},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2015,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457360.770833,"ahargana":1868895.2708,"kali_year":5117,"ayanamsa_lahiri":24.0754,"grahas":{"sun":{"sidereal_longitude":227.47310500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":145.367905,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-1.0278},"mars":{"sidereal_longitude":168.26890500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":236.339605,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":146.532805,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":184.390405,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":223.62910499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":156.9348,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":336.9348,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457360.770833,"kali_year":5117,"ahargana":1868895.2708,"sun":{"sidereal_longitude":226.9534,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":143.7183,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":276.7649,"elapsed_within_tithi_degrees":0.7649},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.7183,"elapsed_within_degrees":10.385},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.6717},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.028,"elongation":83.235},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.028,"opposition_distance":96.765}},"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":"06:16","sunsetLocal":"17:03","solarNoonLocal":"11:40","dayLengthHours":10.782277417326256,"dayLengthDisplay":"10 Hours 46 Mins 56 Secs","nightLengthDisplay":"13 Hours 13 Mins 04 Secs","moonriseLocal":"00:02","moonsetLocal":"12:21","rahuKala":{"name":"Rāhu Kāla","start":"10:19","end":"11:40","startHours":10.315561580599162,"endHours":11.663346257764946,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:22","end":"15:42","startHours":14.35891561209651,"endHours":15.70670028926229,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:37","end":"08:58","startHours":7.619992226267599,"endHours":8.967776903433382,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:09","startHours":8.788072279811278,"endHours":9.147481527055486,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:01","startHours":6.721469108157078,"endHours":7.008996505952445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:01","startHours":11.303937010520738,"endHours":12.022755505009155,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:33","startHours":4.834570560124983,"endHours":5.5533890546134,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:16","startHours":5.373684430991296,"endHours":6.272207549101817,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:28","end":"14:11","startHours":13.460392493985989,"endHours":14.179210988474406,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.854484966428075,"endHours":17.254484966428073,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.054484966428074,"endHours":17.503746525483336,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.804484966428074,"endHours":18.554484966428074,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:01","startHours":23.303937010520738,"endHours":24.022755505009155,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:16","end":"07:37","startHours":6.272207549101817,"endHours":7.619992226267599,"quality":"neutral"},{"name":"Labha","start":"07:37","end":"08:58","startHours":7.619992226267599,"endHours":8.967776903433382,"quality":"auspicious"},{"name":"Amṛta","start":"08:58","end":"10:19","startHours":8.967776903433382,"endHours":10.315561580599162,"quality":"auspicious"},{"name":"Kāla","start":"10:19","end":"11:40","startHours":10.315561580599162,"endHours":11.663346257764946,"quality":"inauspicious"},{"name":"Śubha","start":"11:40","end":"13:01","startHours":11.663346257764946,"endHours":13.011130934930726,"quality":"auspicious"},{"name":"Roga","start":"13:01","end":"14:22","startHours":13.011130934930726,"endHours":14.35891561209651,"quality":"inauspicious"},{"name":"Udveg","start":"14:22","end":"15:42","startHours":14.35891561209651,"endHours":15.70670028926229,"quality":"inauspicious"},{"name":"Chala","start":"15:42","end":"17:03","startHours":15.70670028926229,"endHours":17.054484966428074,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:03","end":"18:42","startHours":17.054484966428074,"endHours":18.706700289262294,"quality":"inauspicious"},{"name":"Udveg","start":"18:42","end":"20:22","startHours":18.706700289262294,"endHours":20.35891561209651,"quality":"inauspicious"},{"name":"Chala","start":"20:22","end":"22:01","startHours":20.35891561209651,"endHours":22.011130934930726,"quality":"neutral"},{"name":"Labha","start":"22:01","end":"23:40","startHours":22.011130934930726,"endHours":23.663346257764946,"quality":"auspicious"},{"name":"Amṛta","start":"23:40","end":"01:19","startHours":23.663346257764946,"endHours":25.315561580599166,"quality":"auspicious"},{"name":"Kāla","start":"01:19","end":"02:58","startHours":25.315561580599166,"endHours":26.967776903433382,"quality":"inauspicious"},{"name":"Śubha","start":"02:58","end":"04:37","startHours":26.967776903433382,"endHours":28.6199922262676,"quality":"auspicious"},{"name":"Roga","start":"04:37","end":"06:16","startHours":28.6199922262676,"endHours":30.272207549101818,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.272207549101817,"endHours":7.272207549101817,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.272207549101817,"endHours":8.272207549101818,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.272207549101818,"endHours":9.272207549101818,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.272207549101818,"endHours":10.272207549101818,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.272207549101818,"endHours":11.272207549101818,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.272207549101818,"endHours":12.272207549101818,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.272207549101818,"endHours":13.272207549101818,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.272207549101818,"endHours":14.272207549101818,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.272207549101818,"endHours":15.272207549101818,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.272207549101818,"endHours":16.272207549101818,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.272207549101818,"endHours":17.272207549101818,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.272207549101818,"endHours":18.272207549101818,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.272207549101818,"endHours":19.272207549101818,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.272207549101818,"endHours":20.272207549101818,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.272207549101818,"endHours":21.272207549101818,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.272207549101818,"endHours":22.272207549101818,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.272207549101818,"endHours":23.272207549101818,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.272207549101818,"endHours":24.272207549101818,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.272207549101818,"endHours":25.272207549101818,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.272207549101818,"endHours":26.272207549101818,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.272207549101818,"endHours":27.272207549101818,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.272207549101818,"endHours":28.272207549101818,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.272207549101818,"endHours":29.272207549101818,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.272207549101818,"endHours":30.272207549101818,"planetary_lord":"Mars"}],"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":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":-22.165660215251005,"eotMinutes":8.960824534103129,"ayanamsa":24.0754}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 4, 2015 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 4, 2015 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 06:16, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2015-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2015-12-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2015-12-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2015-12-04","x-default":"https://vidhyamitra.com/city/ranchi/2015-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:38:59.600Z","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":"2026-05-15T14:38:59.600Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:38:59.600Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}