{"id":"vidhyamitra:city-day:badrinath:2113-10-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2113-10-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-10-07","date_display":"October 7, 2113 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":2113,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493096.770833,"kali_year":5215,"ahargana":1904631.2708,"sun":{"sidereal_longitude":167.2666,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":135.6005,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3339,"elapsed_within_tithi_degrees":4.3339},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.6005,"elapsed_within_degrees":2.2671},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.867},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2113,"month":10,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493096.770833,"ahargana":1904631.2708,"kali_year":5215,"ayanamsa_lahiri":25.4422,"grahas":{"sun":{"sidereal_longitude":168.28742699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":137.384027,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":4.2825},"mars":{"sidereal_longitude":151.337627,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":177.50932699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":210.09182699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":150.584927,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":327.7027270000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":63.4695,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":243.4695,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":10,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493096.770833,"kali_year":5215,"ahargana":1904631.2708,"sun":{"sidereal_longitude":167.2666,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":135.6005,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3339,"elapsed_within_tithi_degrees":4.3339},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.6005,"elapsed_within_degrees":2.2671},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.867},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.283,"elongation":31.666},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.283,"opposition_distance":148.334}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"06:08","sunsetLocal":"17:50","solarNoonLocal":"11:59","dayLengthHours":11.69887702346683,"dayLengthDisplay":"11 Hours 41 Mins 56 Secs","nightLengthDisplay":"12 Hours 18 Mins 04 Secs","moonriseLocal":"03:37","moonsetLocal":"16:14","rahuKala":{"name":"Rāhu Kāla","start":"09:04","end":"10:31","startHours":9.059714907316298,"endHours":10.522074535249653,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:55","startHours":13.44679379111636,"endHours":14.909153419049714,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:08","end":"07:36","startHours":6.134995651449591,"endHours":7.597355279382945,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:15","startHours":8.864733623591851,"endHours":9.254696191040747,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:56","startHours":6.622448860760709,"endHours":6.934418914719824,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:22","startHours":11.594471595734111,"endHours":12.374396730631899,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:21","startHours":4.575145381654014,"endHours":5.355070516551803,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:08","startHours":5.160089232827355,"endHours":6.134995651449591,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:43","startHours":13.934247000427478,"endHours":14.714172135325267,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63387267491642,"endHours":18.03387267491642,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.83387267491642,"endHours":18.321325884227537,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.58387267491642,"endHours":19.33387267491642,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:22","startHours":23.59447159573411,"endHours":24.374396730631897,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:08","end":"07:36","startHours":6.134995651449591,"endHours":7.597355279382945,"quality":"inauspicious"},{"name":"Śubha","start":"07:36","end":"09:04","startHours":7.597355279382945,"endHours":9.059714907316298,"quality":"auspicious"},{"name":"Roga","start":"09:04","end":"10:31","startHours":9.059714907316298,"endHours":10.522074535249653,"quality":"inauspicious"},{"name":"Udveg","start":"10:31","end":"11:59","startHours":10.522074535249653,"endHours":11.984434163183007,"quality":"inauspicious"},{"name":"Chala","start":"11:59","end":"13:27","startHours":11.984434163183007,"endHours":13.44679379111636,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:55","startHours":13.44679379111636,"endHours":14.909153419049714,"quality":"auspicious"},{"name":"Amṛta","start":"14:55","end":"16:22","startHours":14.909153419049714,"endHours":16.37151304698307,"quality":"auspicious"},{"name":"Kāla","start":"16:22","end":"17:50","startHours":16.37151304698307,"endHours":17.83387267491642,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:22","startHours":17.83387267491642,"endHours":19.37151304698307,"quality":"auspicious"},{"name":"Amṛta","start":"19:22","end":"20:55","startHours":19.37151304698307,"endHours":20.909153419049712,"quality":"auspicious"},{"name":"Kāla","start":"20:55","end":"22:27","startHours":20.909153419049712,"endHours":22.44679379111636,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"23:59","startHours":22.44679379111636,"endHours":23.984434163183007,"quality":"auspicious"},{"name":"Roga","start":"23:59","end":"01:31","startHours":23.984434163183007,"endHours":25.52207453524965,"quality":"inauspicious"},{"name":"Udveg","start":"01:31","end":"03:04","startHours":25.52207453524965,"endHours":27.059714907316298,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:36","startHours":27.059714907316298,"endHours":28.597355279382946,"quality":"neutral"},{"name":"Labha","start":"04:36","end":"06:08","startHours":28.597355279382946,"endHours":30.134995651449593,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:08","end":"07:08","startHours":6.134995651449591,"endHours":7.134995651449591,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:08","end":"08:08","startHours":7.134995651449591,"endHours":8.134995651449591,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:08","end":"09:08","startHours":8.134995651449591,"endHours":9.134995651449591,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:08","end":"10:08","startHours":9.134995651449591,"endHours":10.134995651449591,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:08","end":"11:08","startHours":10.134995651449591,"endHours":11.134995651449591,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:08","end":"12:08","startHours":11.134995651449591,"endHours":12.134995651449591,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:08","end":"13:08","startHours":12.134995651449591,"endHours":13.134995651449591,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:08","end":"14:08","startHours":13.134995651449591,"endHours":14.134995651449591,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:08","end":"15:08","startHours":14.134995651449591,"endHours":15.134995651449591,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:08","end":"16:08","startHours":15.134995651449591,"endHours":16.134995651449593,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:08","end":"17:08","startHours":16.134995651449593,"endHours":17.134995651449593,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:08","end":"18:08","startHours":17.134995651449593,"endHours":18.134995651449593,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:08","end":"19:08","startHours":18.134995651449593,"endHours":19.134995651449593,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:08","end":"20:08","startHours":19.134995651449593,"endHours":20.134995651449593,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:08","end":"21:08","startHours":20.134995651449593,"endHours":21.134995651449593,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:08","end":"22:08","startHours":21.134995651449593,"endHours":22.134995651449593,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:08","end":"23:08","startHours":22.134995651449593,"endHours":23.134995651449593,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:08","end":"00:08","startHours":23.134995651449593,"endHours":24.134995651449593,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:08","end":"01:08","startHours":24.134995651449593,"endHours":25.134995651449593,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:08","end":"02:08","startHours":25.134995651449593,"endHours":26.134995651449593,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:08","end":"03:08","startHours":26.134995651449593,"endHours":27.134995651449593,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:08","end":"04:08","startHours":27.134995651449593,"endHours":28.134995651449593,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:08","end":"05:08","startHours":28.134995651449593,"endHours":29.134995651449593,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:08","end":"06:08","startHours":29.134995651449593,"endHours":30.134995651449593,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.416673068216644,"eotMinutes":12.958750209019716,"ayanamsa":25.4422}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 7, 2113 CE · Badarīnāth · Vidhyamitra","description":"October 7, 2113 CE for Badarīnāth: Kṛṣṇa Trayodaśī, sūryodaya 06:08, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2113-10-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2113-10-07","sa":"https://sa.vidhyamitra.com/city/badrinath/2113-10-07","hi":"https://hi.vidhyamitra.com/city/badrinath/2113-10-07","x-default":"https://vidhyamitra.com/city/badrinath/2113-10-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:00:39.765Z","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":"2026-06-01T22:00:39.765Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:00:39.765Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}