{"id":"vidhyamitra:city-day:ranchi:2063-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2063-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2063-12-03","date_display":"December 3, 2063 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2063,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474891.770833,"kali_year":5165,"ahargana":1886426.2708,"sun":{"sidereal_longitude":225.502,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":11.1307,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.6287,"elapsed_within_tithi_degrees":1.6287},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.1307,"elapsed_within_degrees":11.1307},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.6326},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2063,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2474891.770833,"ahargana":1886426.2708,"kali_year":5165,"ayanamsa_lahiri":24.7459,"grahas":{"sun":{"sidereal_longitude":226.14749200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":12.36039199999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":4.0113},"mars":{"sidereal_longitude":288.4399920000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":244.72749199999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":161.01469199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":184.772292,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":94.02909199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":308.0581,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":128.0581,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2063,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2474891.770833,"kali_year":5165,"ahargana":1886426.2708,"sun":{"sidereal_longitude":225.502,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":11.1307,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.6287,"elapsed_within_tithi_degrees":1.6287},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.1307,"elapsed_within_degrees":11.1307},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.6326},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.011,"elongation":145.629},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.011,"opposition_distance":34.371}},"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":"11:39","dayLengthHours":10.78834110066212,"dayLengthDisplay":"10 Hours 47 Mins 18 Secs","nightLengthDisplay":"13 Hours 12 Mins 42 Secs","moonriseLocal":"14:57","moonsetLocal":"03:51","rahuKala":{"name":"Rāhu Kāla","start":"07:37","end":"08:58","startHours":7.611084971740739,"endHours":8.959627609323505,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:18","end":"11:39","startHours":10.308170246906268,"endHours":11.656712884489034,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:00","end":"14:21","startHours":13.0052555220718,"endHours":14.353798159654563,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:08","startHours":8.779821924312468,"endHours":9.13943329433454,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:00","startHours":6.712056546685562,"endHours":6.9997456427032185,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"12:01","startHours":11.297101514466963,"endHours":12.016324254511105,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:33","startHours":4.824096854069691,"endHours":5.543319594113832,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:16","startHours":5.363513909102798,"endHours":6.262542334157974,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"14:10","startHours":13.454769734599388,"endHours":14.17399247464353,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:51","end":"17:15","startHours":16.850883434820094,"endHours":17.250883434820093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:03","end":"17:30","startHours":17.050883434820093,"endHours":17.500397647347683,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:48","end":"18:33","startHours":16.800883434820093,"endHours":18.550883434820093,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"00:01","startHours":23.297101514466963,"endHours":24.0163242545111,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:16","end":"07:37","startHours":6.262542334157974,"endHours":7.611084971740739,"quality":"auspicious"},{"name":"Kāla","start":"07:37","end":"08:58","startHours":7.611084971740739,"endHours":8.959627609323505,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:18","startHours":8.959627609323505,"endHours":10.308170246906268,"quality":"auspicious"},{"name":"Roga","start":"10:18","end":"11:39","startHours":10.308170246906268,"endHours":11.656712884489034,"quality":"inauspicious"},{"name":"Udveg","start":"11:39","end":"13:00","startHours":11.656712884489034,"endHours":13.0052555220718,"quality":"inauspicious"},{"name":"Chala","start":"13:00","end":"14:21","startHours":13.0052555220718,"endHours":14.353798159654563,"quality":"neutral"},{"name":"Labha","start":"14:21","end":"15:42","startHours":14.353798159654563,"endHours":15.702340797237328,"quality":"auspicious"},{"name":"Amṛta","start":"15:42","end":"17:03","startHours":15.702340797237328,"endHours":17.050883434820093,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:03","end":"18:42","startHours":17.050883434820093,"endHours":18.70234079723733,"quality":"neutral"},{"name":"Labha","start":"18:42","end":"20:21","startHours":18.70234079723733,"endHours":20.353798159654563,"quality":"auspicious"},{"name":"Amṛta","start":"20:21","end":"22:00","startHours":20.353798159654563,"endHours":22.0052555220718,"quality":"auspicious"},{"name":"Kāla","start":"22:00","end":"23:39","startHours":22.0052555220718,"endHours":23.656712884489032,"quality":"inauspicious"},{"name":"Śubha","start":"23:39","end":"01:18","startHours":23.656712884489032,"endHours":25.30817024690627,"quality":"auspicious"},{"name":"Roga","start":"01:18","end":"02:58","startHours":25.30817024690627,"endHours":26.959627609323505,"quality":"inauspicious"},{"name":"Udveg","start":"02:58","end":"04:37","startHours":26.959627609323505,"endHours":28.611084971740738,"quality":"inauspicious"},{"name":"Chala","start":"04:37","end":"06:16","startHours":28.611084971740738,"endHours":30.262542334157974,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.262542334157974,"endHours":7.262542334157974,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.262542334157974,"endHours":8.262542334157974,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.262542334157974,"endHours":9.262542334157974,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.262542334157974,"endHours":10.262542334157974,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.262542334157974,"endHours":11.262542334157974,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.262542334157974,"endHours":12.262542334157974,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.262542334157974,"endHours":13.262542334157974,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.262542334157974,"endHours":14.262542334157974,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.262542334157974,"endHours":15.262542334157974,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.262542334157974,"endHours":16.262542334157974,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.262542334157974,"endHours":17.262542334157974,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.262542334157974,"endHours":18.262542334157974,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.262542334157974,"endHours":19.262542334157974,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.262542334157974,"endHours":20.262542334157974,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.262542334157974,"endHours":21.262542334157974,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.262542334157974,"endHours":22.262542334157974,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.262542334157974,"endHours":23.262542334157974,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.262542334157974,"endHours":24.262542334157974,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.262542334157974,"endHours":25.262542334157974,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.262542334157974,"endHours":26.262542334157974,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.262542334157974,"endHours":27.262542334157974,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.262542334157974,"endHours":28.262542334157974,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.262542334157974,"endHours":29.262542334157974,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.262542334157974,"endHours":30.262542334157974,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","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":-22.075116931571614,"eotMinutes":9.35882693065794,"ayanamsa":24.7459}},"calendars":{"vikram_samvat":2120,"vikram_samvatsara":"Durmukhi","saka_samvat":1985,"saka_samvatsara":"Subhānu","bengali_samvat":1470,"malayalam_era":1239,"nanakshahi_year":594,"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 Trayodaśī · Vikram 2120 Durmukhi · Śaka 1985 Subhānu"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Somavāra (Monday) — 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 3, 2063 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 3, 2063 CE for Ranchi, Jharkhand: Śukla Trayodaśī, sūryodaya 06:16, sūryāsta 17:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2063-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2063-12-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2063-12-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2063-12-03","x-default":"https://vidhyamitra.com/city/ranchi/2063-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:01:25.614Z","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":"2026-09-06T11:01:25.614Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:01:25.614Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}