{"id":"vidhyamitra:city-day:patna:2018-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2018-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-01-31","date_display":"January 31, 2018 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":2018,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458149.770833,"kali_year":5119,"ahargana":1869684.2708,"sun":{"sidereal_longitude":286.9643,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":100.6847,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.7204,"elapsed_within_tithi_degrees":5.7204},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.6847,"elapsed_within_degrees":7.3514},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.649},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2018,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458149.770833,"ahargana":1869684.2708,"kali_year":5119,"ayanamsa_lahiri":24.1056,"grahas":{"sun":{"sidereal_longitude":286.99735999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":99.71575999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":-1.1215},"mars":{"sidereal_longitude":218.36246000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":274.87086,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":206.82596,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":291.95596,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":250.48496,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":115.1298,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":295.1298,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":"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":2018,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458149.770833,"kali_year":5119,"ahargana":1869684.2708,"sun":{"sidereal_longitude":286.9643,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":100.6847,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.7204,"elapsed_within_tithi_degrees":5.7204},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.6847,"elapsed_within_degrees":7.3514},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":27.649},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.121,"elongation":173.72},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.121,"opposition_distance":6.28}},"eclipse_window_40days":[{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":-0.855,"elongation":1.98}]},"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":"06:34","sunsetLocal":"17:32","solarNoonLocal":"12:03","dayLengthHours":10.976494718282272,"dayLengthDisplay":"10 Hours 58 Mins 35 Secs","nightLengthDisplay":"13 Hours 01 Mins 25 Secs","moonriseLocal":"16:52","moonsetLocal":"06:15","rahuKala":{"name":"Rāhu Kāla","start":"12:03","end":"13:25","startHours":12.049653142364033,"endHours":13.421714982149318,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:56","end":"09:18","startHours":7.933467623008182,"endHours":9.305529462793466,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:41","end":"12:03","startHours":10.677591302578751,"endHours":12.049653142364033,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:29","startHours":9.122587884155427,"endHours":9.488471041431504,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:01","end":"07:19","startHours":7.018759729817992,"endHours":7.3114662556388526,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:25","startHours":11.68376998508796,"endHours":12.41553629964011,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:50","startHours":5.097873154118595,"endHours":5.829639468670746,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:34","startHours":5.6466978900327085,"endHours":6.561405783222898,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:37","startHours":13.879068928744413,"endHours":14.610835243296565,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:20","end":"17:44","startHours":17.33790050150517,"endHours":17.73790050150517,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:32","end":"18:00","startHours":17.53790050150517,"endHours":17.995254448100265,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:17","end":"19:02","startHours":17.28790050150517,"endHours":19.03790050150517,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:25","startHours":23.68376998508796,"endHours":24.415536299640113,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:34","end":"07:56","startHours":6.561405783222898,"endHours":7.933467623008182,"quality":"auspicious"},{"name":"Amṛta","start":"07:56","end":"09:18","startHours":7.933467623008182,"endHours":9.305529462793466,"quality":"auspicious"},{"name":"Kāla","start":"09:18","end":"10:41","startHours":9.305529462793466,"endHours":10.677591302578751,"quality":"inauspicious"},{"name":"Śubha","start":"10:41","end":"12:03","startHours":10.677591302578751,"endHours":12.049653142364033,"quality":"auspicious"},{"name":"Roga","start":"12:03","end":"13:25","startHours":12.049653142364033,"endHours":13.421714982149318,"quality":"inauspicious"},{"name":"Udveg","start":"13:25","end":"14:48","startHours":13.421714982149318,"endHours":14.793776821934603,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:10","startHours":14.793776821934603,"endHours":16.165838661719885,"quality":"neutral"},{"name":"Labha","start":"16:10","end":"17:32","startHours":16.165838661719885,"endHours":17.53790050150517,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:32","end":"19:10","startHours":17.53790050150517,"endHours":19.165838661719885,"quality":"inauspicious"},{"name":"Chala","start":"19:10","end":"20:48","startHours":19.165838661719885,"endHours":20.793776821934603,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:25","startHours":20.793776821934603,"endHours":22.421714982149318,"quality":"auspicious"},{"name":"Amṛta","start":"22:25","end":"00:03","startHours":22.421714982149318,"endHours":24.049653142364036,"quality":"auspicious"},{"name":"Kāla","start":"00:03","end":"01:41","startHours":24.049653142364036,"endHours":25.67759130257875,"quality":"inauspicious"},{"name":"Śubha","start":"01:41","end":"03:18","startHours":25.67759130257875,"endHours":27.305529462793466,"quality":"auspicious"},{"name":"Roga","start":"03:18","end":"04:56","startHours":27.305529462793466,"endHours":28.933467623008184,"quality":"inauspicious"},{"name":"Udveg","start":"04:56","end":"06:34","startHours":28.933467623008184,"endHours":30.5614057832229,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:34","end":"07:34","startHours":6.561405783222898,"endHours":7.561405783222898,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:34","end":"08:34","startHours":7.561405783222898,"endHours":8.561405783222899,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:34","end":"09:34","startHours":8.561405783222899,"endHours":9.561405783222899,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:34","end":"10:34","startHours":9.561405783222899,"endHours":10.561405783222899,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:34","end":"11:34","startHours":10.561405783222899,"endHours":11.561405783222899,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:34","end":"12:34","startHours":11.561405783222899,"endHours":12.561405783222899,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:34","end":"13:34","startHours":12.561405783222899,"endHours":13.561405783222899,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:34","end":"14:34","startHours":13.561405783222899,"endHours":14.561405783222899,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:34","end":"15:34","startHours":14.561405783222899,"endHours":15.561405783222899,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:34","end":"16:34","startHours":15.561405783222899,"endHours":16.5614057832229,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:34","end":"17:34","startHours":16.5614057832229,"endHours":17.5614057832229,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:34","end":"18:34","startHours":17.5614057832229,"endHours":18.5614057832229,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:34","end":"19:34","startHours":18.5614057832229,"endHours":19.5614057832229,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:34","end":"20:34","startHours":19.5614057832229,"endHours":20.5614057832229,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:34","end":"21:34","startHours":20.5614057832229,"endHours":21.5614057832229,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:34","end":"22:34","startHours":21.5614057832229,"endHours":22.5614057832229,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:34","end":"23:34","startHours":22.5614057832229,"endHours":23.5614057832229,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:34","end":"00:34","startHours":23.5614057832229,"endHours":24.5614057832229,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:34","end":"01:34","startHours":24.5614057832229,"endHours":25.5614057832229,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:34","end":"02:34","startHours":25.5614057832229,"endHours":26.5614057832229,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:34","end":"03:34","startHours":26.5614057832229,"endHours":27.5614057832229,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:34","end":"04:34","startHours":27.5614057832229,"endHours":28.5614057832229,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:34","end":"05:34","startHours":28.5614057832229,"endHours":29.5614057832229,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:34","end":"06:34","startHours":29.5614057832229,"endHours":30.5614057832229,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.439772389696262,"eotMinutes":-13.52958854184206,"ayanamsa":24.1056}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2}],"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":"Dedicated festival walk for Māghī Pūrṇimā is not live yet; Budhavāra (Wednesday) — 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 January 31, 2018 CE · Patna, Bihar · Vidhyamitra","description":"January 31, 2018 CE for Patna, Bihar: Śukla Pūrṇimā, sūryodaya 06:34, sūryāsta 17:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2018-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2018-01-31","sa":"https://sa.vidhyamitra.com/city/patna/2018-01-31","hi":"https://hi.vidhyamitra.com/city/patna/2018-01-31","x-default":"https://vidhyamitra.com/city/patna/2018-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:10:19.626Z","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":"2026-08-10T09:10:19.626Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:10:19.626Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}