{"id":"vidhyamitra:city-day:badrinath:2021-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2021-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-18","date_display":"October 18, 2021 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":2021,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459505.770833,"kali_year":5123,"ahargana":1871040.2708,"sun":{"sidereal_longitude":179.948,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":330.1511,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.2031,"elapsed_within_tithi_degrees":6.2031},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.1511,"elapsed_within_degrees":10.1511},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.0991},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2021,"month":10,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459505.770833,"ahargana":1871040.2708,"kali_year":5123,"ayanamsa_lahiri":24.1575,"grahas":{"sun":{"sidereal_longitude":180.72974999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":331.12725,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.306},"mars":{"sidereal_longitude":177.14045,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":165.79255,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":298.14865,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":227.01064999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":282.7970499999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":43.2824,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":223.2824,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459505.770833,"kali_year":5123,"ahargana":1871040.2708,"sun":{"sidereal_longitude":179.948,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":330.1511,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.2031,"elapsed_within_tithi_degrees":6.2031},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":330.1511,"elapsed_within_degrees":10.1511},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.0991},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.306,"elongation":150.203},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.306,"opposition_distance":29.797}},"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":"06:16","sunsetLocal":"17:37","solarNoonLocal":"11:57","dayLengthHours":11.358902580461182,"dayLengthDisplay":"11 Hours 21 Mins 32 Secs","nightLengthDisplay":"12 Hours 38 Mins 28 Secs","moonriseLocal":"16:00","moonsetLocal":"03:56","rahuKala":{"name":"Rāhu Kāla","start":"07:41","end":"09:06","startHours":7.684230562273416,"endHours":9.104093384831064,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"11:57","startHours":10.52395620738871,"endHours":11.943819029946358,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:22","end":"14:47","startHours":13.363681852504007,"endHours":14.783544675061654,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:18","startHours":8.914778341823377,"endHours":9.293408427838749,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:02","startHours":6.737655347234984,"endHours":7.040559416047282,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:19","startHours":11.565188943930988,"endHours":12.322449115961732,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:30","startHours":4.749847395654276,"endHours":5.507107567685022,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:16","startHours":5.317792524677336,"endHours":6.264367739715768,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:36","startHours":13.836969460023223,"endHours":14.594229632053969,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.42327032017695,"endHours":17.82327032017695,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:06","startHours":17.62327032017695,"endHours":18.096557927696164,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37327032017695,"endHours":19.12327032017695,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:19","startHours":23.565188943930988,"endHours":24.322449115961735,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:16","end":"07:41","startHours":6.264367739715768,"endHours":7.684230562273416,"quality":"auspicious"},{"name":"Kāla","start":"07:41","end":"09:06","startHours":7.684230562273416,"endHours":9.104093384831064,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:31","startHours":9.104093384831064,"endHours":10.52395620738871,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"11:57","startHours":10.52395620738871,"endHours":11.943819029946358,"quality":"inauspicious"},{"name":"Udveg","start":"11:57","end":"13:22","startHours":11.943819029946358,"endHours":13.363681852504007,"quality":"inauspicious"},{"name":"Chala","start":"13:22","end":"14:47","startHours":13.363681852504007,"endHours":14.783544675061654,"quality":"neutral"},{"name":"Labha","start":"14:47","end":"16:12","startHours":14.783544675061654,"endHours":16.203407497619303,"quality":"auspicious"},{"name":"Amṛta","start":"16:12","end":"17:37","startHours":16.203407497619303,"endHours":17.62327032017695,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:12","startHours":17.62327032017695,"endHours":19.203407497619303,"quality":"neutral"},{"name":"Labha","start":"19:12","end":"20:47","startHours":19.203407497619303,"endHours":20.783544675061655,"quality":"auspicious"},{"name":"Amṛta","start":"20:47","end":"22:22","startHours":20.783544675061655,"endHours":22.36368185250401,"quality":"auspicious"},{"name":"Kāla","start":"22:22","end":"23:57","startHours":22.36368185250401,"endHours":23.943819029946358,"quality":"inauspicious"},{"name":"Śubha","start":"23:57","end":"01:31","startHours":23.943819029946358,"endHours":25.52395620738871,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"03:06","startHours":25.52395620738871,"endHours":27.104093384831064,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:41","startHours":27.104093384831064,"endHours":28.684230562273413,"quality":"inauspicious"},{"name":"Chala","start":"04:41","end":"06:16","startHours":28.684230562273413,"endHours":30.264367739715766,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.264367739715768,"endHours":7.264367739715768,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.264367739715768,"endHours":8.264367739715768,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.264367739715768,"endHours":9.264367739715768,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.264367739715768,"endHours":10.264367739715768,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.264367739715768,"endHours":11.264367739715768,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.264367739715768,"endHours":12.264367739715768,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.264367739715768,"endHours":13.264367739715768,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.264367739715768,"endHours":14.264367739715768,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.264367739715768,"endHours":15.264367739715768,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.264367739715768,"endHours":16.264367739715766,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.264367739715766,"endHours":17.264367739715766,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.264367739715766,"endHours":18.264367739715766,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.264367739715766,"endHours":19.264367739715766,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.264367739715766,"endHours":20.264367739715766,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.264367739715766,"endHours":21.264367739715766,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.264367739715766,"endHours":22.264367739715766,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.264367739715766,"endHours":23.264367739715766,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.264367739715766,"endHours":24.264367739715766,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.264367739715766,"endHours":25.264367739715766,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.264367739715766,"endHours":26.264367739715766,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.264367739715766,"endHours":27.264367739715766,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.264367739715766,"endHours":28.264367739715766,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.264367739715766,"endHours":29.264367739715766,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.264367739715766,"endHours":30.264367739715766,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.635482356765234,"eotMinutes":15.395658203218455,"ayanamsa":24.1575}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5},{"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 Tulā Saṅkrānti · Pradoṣa Vrata is not live yet; Somavāra (Monday) — 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 18, 2021 CE · Badarīnāth · Vidhyamitra","description":"October 18, 2021 CE for Badarīnāth: Śukla Trayodaśī, sūryodaya 06:16, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2021-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2021-10-18","sa":"https://sa.vidhyamitra.com/city/badrinath/2021-10-18","hi":"https://hi.vidhyamitra.com/city/badrinath/2021-10-18","x-default":"https://vidhyamitra.com/city/badrinath/2021-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T03:33:05.614Z","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":"2026-09-12T03:33:05.614Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T03:33:05.614Z","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"}}}