{"id":"vidhyamitra:city-day:patna:2017-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2017-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2017-12-24","date_display":"December 24, 2017 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":2017,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458111.770833,"kali_year":5119,"ahargana":1869646.2708,"sun":{"sidereal_longitude":247.9551,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.9208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.9657,"elapsed_within_tithi_degrees":6.9657},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.9208,"elapsed_within_degrees":8.2541},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.8758},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2017,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458111.770833,"ahargana":1869646.2708,"kali_year":5119,"ayanamsa_lahiri":24.1042,"grahas":{"sun":{"sidereal_longitude":248.30461100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":311.14691100000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-1.3727},"mars":{"sidereal_longitude":194.78721100000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":228.591811,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":201.20041100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":244.1721110000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":246.20041100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":117.1432,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.1432,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":"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":2017,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458111.770833,"kali_year":5119,"ahargana":1869646.2708,"sun":{"sidereal_longitude":247.9551,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.9208,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.9657,"elapsed_within_tithi_degrees":6.9657},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.9208,"elapsed_within_degrees":8.2541},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.8758},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.373,"elongation":66.966},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.373,"opposition_distance":113.034}},"eclipse_window_40days":[]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"06:33","sunsetLocal":"17:06","solarNoonLocal":"11:49","dayLengthHours":10.540741576982924,"dayLengthDisplay":"10 Hours 32 Mins 27 Secs","nightLengthDisplay":"13 Hours 27 Mins 33 Secs","moonriseLocal":"10:17","moonsetLocal":"21:45","rahuKala":{"name":"Rāhu Kāla","start":"15:47","end":"17:06","startHours":15.77736269476885,"endHours":17.094955391891716,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:49","end":"13:09","startHours":11.824584603400254,"endHours":13.14217730052312,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:28","end":"15:47","startHours":14.459769997645985,"endHours":15.77736269476885,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:22","startHours":9.013720182871474,"endHours":9.36507823543757,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:16","startHours":6.993411380616413,"endHours":7.274497822669291,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:11","startHours":11.473226550834157,"endHours":12.17594265596635,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:09","end":"05:51","startHours":5.148781604644401,"endHours":5.851497709776596,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:41","end":"06:33","startHours":5.675818683493548,"endHours":6.554213814908791,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:17","startHours":13.58137486623074,"endHours":14.284090971362936,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:54","end":"17:18","startHours":16.894955391891717,"endHours":17.294955391891715,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:06","end":"17:32","startHours":17.094955391891716,"endHours":17.53415295759934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:51","end":"18:36","startHours":16.844955391891716,"endHours":18.594955391891716,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:11","startHours":23.473226550834156,"endHours":24.175942655966352,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:33","end":"07:52","startHours":6.554213814908791,"endHours":7.8718065120316565,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:11","startHours":7.8718065120316565,"endHours":9.189399209154523,"quality":"neutral"},{"name":"Labha","start":"09:11","end":"10:30","startHours":9.189399209154523,"endHours":10.506991906277388,"quality":"auspicious"},{"name":"Amṛta","start":"10:30","end":"11:49","startHours":10.506991906277388,"endHours":11.824584603400254,"quality":"auspicious"},{"name":"Kāla","start":"11:49","end":"13:09","startHours":11.824584603400254,"endHours":13.14217730052312,"quality":"inauspicious"},{"name":"Śubha","start":"13:09","end":"14:28","startHours":13.14217730052312,"endHours":14.459769997645985,"quality":"auspicious"},{"name":"Roga","start":"14:28","end":"15:47","startHours":14.459769997645985,"endHours":15.77736269476885,"quality":"inauspicious"},{"name":"Udveg","start":"15:47","end":"17:06","startHours":15.77736269476885,"endHours":17.094955391891716,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:06","end":"18:47","startHours":17.094955391891716,"endHours":18.77736269476885,"quality":"auspicious"},{"name":"Roga","start":"18:47","end":"20:28","startHours":18.77736269476885,"endHours":20.459769997645985,"quality":"inauspicious"},{"name":"Udveg","start":"20:28","end":"22:09","startHours":20.459769997645985,"endHours":22.14217730052312,"quality":"inauspicious"},{"name":"Chala","start":"22:09","end":"23:49","startHours":22.14217730052312,"endHours":23.824584603400254,"quality":"neutral"},{"name":"Labha","start":"23:49","end":"01:30","startHours":23.824584603400254,"endHours":25.50699190627739,"quality":"auspicious"},{"name":"Amṛta","start":"01:30","end":"03:11","startHours":25.50699190627739,"endHours":27.189399209154523,"quality":"auspicious"},{"name":"Kāla","start":"03:11","end":"04:52","startHours":27.189399209154523,"endHours":28.871806512031657,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:33","startHours":28.871806512031657,"endHours":30.554213814908792,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.554213814908791,"endHours":7.554213814908791,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.554213814908791,"endHours":8.554213814908792,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.554213814908792,"endHours":9.554213814908792,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.554213814908792,"endHours":10.554213814908792,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.554213814908792,"endHours":11.554213814908792,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.554213814908792,"endHours":12.554213814908792,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.554213814908792,"endHours":13.554213814908792,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.554213814908792,"endHours":14.554213814908792,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.554213814908792,"endHours":15.554213814908792,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.554213814908792,"endHours":16.554213814908792,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.554213814908792,"endHours":17.554213814908792,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.554213814908792,"endHours":18.554213814908792,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.554213814908792,"endHours":19.554213814908792,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.554213814908792,"endHours":20.554213814908792,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.554213814908792,"endHours":21.554213814908792,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.554213814908792,"endHours":22.554213814908792,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.554213814908792,"endHours":23.554213814908792,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.554213814908792,"endHours":24.554213814908792,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.554213814908792,"endHours":25.554213814908792,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.554213814908792,"endHours":26.554213814908792,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.554213814908792,"endHours":27.554213814908792,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.554213814908792,"endHours":28.554213814908792,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.554213814908792,"endHours":29.554213814908792,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.554213814908792,"endHours":30.554213814908792,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.414554923636093,"eotMinutes":-0.025476204015291604,"ayanamsa":24.1042}},"calendars":{"vikram_samvat":2074,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1939,"saka_samvatsara":"Hemalambī","bengali_samvat":1424,"malayalam_era":1193,"nanakshahi_year":548,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2074 Sādhāraṇa · Śaka 1939 Hemalambī"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"patna"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 24, 2017 CE · Patna, Bihar · Vidhyamitra","description":"December 24, 2017 CE for Patna, Bihar: Śukla Ṣaṣṭhī, sūryodaya 06:33, sūryāsta 17:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2017-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2017-12-24","sa":"https://sa.vidhyamitra.com/city/patna/2017-12-24","hi":"https://hi.vidhyamitra.com/city/patna/2017-12-24","x-default":"https://vidhyamitra.com/city/patna/2017-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:06:45.270Z","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":"2026-09-06T10:06:45.270Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:06:45.270Z","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"}}}