{"id":"vidhyamitra:city-day:san-francisco:2026-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/san-francisco/2026-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-01-21","date_display":"January 21, 2026 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":2026,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461061.770833,"kali_year":5127,"ahargana":1872596.2708,"sun":{"sidereal_longitude":276.6526,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":303.012,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3594,"elapsed_within_tithi_degrees":2.3594},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.012,"elapsed_within_degrees":9.6786},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.6645},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2026,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461061.770833,"ahargana":1872596.2708,"kali_year":5127,"ayanamsa_lahiri":24.217,"grahas":{"sun":{"sidereal_longitude":276.77919999999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":302.6088,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-1.3763},"mars":{"sidereal_longitude":273.56690000000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":276.0548,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":84.3202,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":279.8587,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":333.49760000000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":320.838,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":140.838,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":"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":2026,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461061.770833,"kali_year":5127,"ahargana":1872596.2708,"sun":{"sidereal_longitude":276.6526,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":303.012,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":26.3594,"elapsed_within_tithi_degrees":2.3594},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.012,"elapsed_within_degrees":9.6786},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.6645},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.376,"elongation":26.359},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.376,"opposition_distance":153.641}},"eclipse_window_40days":[]},"city":{"slug":"san-francisco","name":"San Francisco Bay Area, USA","lat":37.7749,"lon":-122.4194,"tz_offset_hours":-8,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"san-francisco","name":"San Francisco Bay Area, USA","lat":37.7749,"lon":-122.4194,"tz_offset_hours":-8,"country":"US","tier":"diaspora"},"sunriseLocal":"07:22","sunsetLocal":"17:20","solarNoonLocal":"12:21","dayLengthHours":9.97884528135419,"dayLengthDisplay":"9 Hours 58 Mins 44 Secs","nightLengthDisplay":"14 Hours 01 Mins 16 Secs","moonriseLocal":"08:41","moonsetLocal":"19:28","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:36","startHours":12.3488888541522,"endHours":13.596244514321473,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:36","end":"09:51","startHours":8.606821873644378,"endHours":9.854177533813651,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:21","startHours":11.101533193982926,"endHours":12.3488888541522,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:01","startHours":9.687863445791082,"endHours":10.020491621836221,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:47","end":"08:02","startHours":7.775251433531529,"endHours":8.04135397436764,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:41","startHours":12.016260678107061,"endHours":12.68151703019734,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:02","end":"06:42","startHours":6.028953509294546,"endHours":6.6942098613848255,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:32","end":"07:22","startHours":6.527895773362255,"endHours":7.3594662134751045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:41","startHours":14.012029734377897,"endHours":14.677286086468177,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.138311494829296,"endHours":17.538311494829294,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.338311494829295,"endHours":17.75409671488572,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.088311494829295,"endHours":18.838311494829295,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:41","startHours":24.01626067810706,"endHours":24.68151703019734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:22","end":"08:36","startHours":7.3594662134751045,"endHours":8.606821873644378,"quality":"auspicious"},{"name":"Amṛta","start":"08:36","end":"09:51","startHours":8.606821873644378,"endHours":9.854177533813651,"quality":"auspicious"},{"name":"Kāla","start":"09:51","end":"11:06","startHours":9.854177533813651,"endHours":11.101533193982926,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:21","startHours":11.101533193982926,"endHours":12.3488888541522,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:36","startHours":12.3488888541522,"endHours":13.596244514321473,"quality":"inauspicious"},{"name":"Udveg","start":"13:36","end":"14:51","startHours":13.596244514321473,"endHours":14.843600174490746,"quality":"inauspicious"},{"name":"Chala","start":"14:51","end":"16:05","startHours":14.843600174490746,"endHours":16.090955834660022,"quality":"neutral"},{"name":"Labha","start":"16:05","end":"17:20","startHours":16.090955834660022,"endHours":17.338311494829295,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:20","end":"19:05","startHours":17.338311494829295,"endHours":19.090955834660022,"quality":"inauspicious"},{"name":"Chala","start":"19:05","end":"20:51","startHours":19.090955834660022,"endHours":20.843600174490746,"quality":"neutral"},{"name":"Labha","start":"20:51","end":"22:36","startHours":20.843600174490746,"endHours":22.596244514321473,"quality":"auspicious"},{"name":"Amṛta","start":"22:36","end":"00:21","startHours":22.596244514321473,"endHours":24.3488888541522,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"02:06","startHours":24.3488888541522,"endHours":26.101533193982927,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:51","startHours":26.101533193982927,"endHours":27.854177533813655,"quality":"auspicious"},{"name":"Roga","start":"03:51","end":"05:36","startHours":27.854177533813655,"endHours":29.60682187364438,"quality":"inauspicious"},{"name":"Udveg","start":"05:36","end":"07:22","startHours":29.60682187364438,"endHours":31.359466213475105,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:22","end":"08:22","startHours":7.3594662134751045,"endHours":8.359466213475105,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:22","end":"09:22","startHours":8.359466213475105,"endHours":9.359466213475105,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:22","end":"10:22","startHours":9.359466213475105,"endHours":10.359466213475105,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:22","end":"11:22","startHours":10.359466213475105,"endHours":11.359466213475105,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:22","end":"12:22","startHours":11.359466213475105,"endHours":12.359466213475105,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:22","end":"13:22","startHours":12.359466213475105,"endHours":13.359466213475105,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:22","end":"14:22","startHours":13.359466213475105,"endHours":14.359466213475105,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:22","end":"15:22","startHours":14.359466213475105,"endHours":15.359466213475105,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:22","end":"16:22","startHours":15.359466213475105,"endHours":16.359466213475105,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:22","end":"17:22","startHours":16.359466213475105,"endHours":17.359466213475105,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:22","end":"18:22","startHours":17.359466213475105,"endHours":18.359466213475105,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:22","end":"19:22","startHours":18.359466213475105,"endHours":19.359466213475105,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:22","end":"20:22","startHours":19.359466213475105,"endHours":20.359466213475105,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:22","end":"21:22","startHours":20.359466213475105,"endHours":21.359466213475105,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:22","end":"22:22","startHours":21.359466213475105,"endHours":22.359466213475105,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:22","end":"23:22","startHours":22.359466213475105,"endHours":23.359466213475105,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:22","end":"00:22","startHours":23.359466213475105,"endHours":24.359466213475105,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:22","end":"01:22","startHours":24.359466213475105,"endHours":25.359466213475105,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:22","end":"02:22","startHours":25.359466213475105,"endHours":26.359466213475105,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:22","end":"03:22","startHours":26.359466213475105,"endHours":27.359466213475105,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:22","end":"04:22","startHours":27.359466213475105,"endHours":28.359466213475105,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:22","end":"05:22","startHours":28.359466213475105,"endHours":29.359466213475105,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:22","end":"06:22","startHours":29.359466213475105,"endHours":30.359466213475105,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:22","end":"07:22","startHours":30.359466213475105,"endHours":31.359466213475105,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":-19.933962025179937,"eotMinutes":-11.255731249132124,"ayanamsa":24.217}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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 Tṛtīyā · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"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":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"san-francisco"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 21, 2026 CE · San Francisco Bay Area, USA · Vidhyamitra","description":"January 21, 2026 CE for San Francisco Bay Area, USA: Śukla Tṛtīyā, sūryodaya 07:22, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/san-francisco/2026-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/san-francisco/2026-01-21","sa":"https://sa.vidhyamitra.com/city/san-francisco/2026-01-21","hi":"https://hi.vidhyamitra.com/city/san-francisco/2026-01-21","x-default":"https://vidhyamitra.com/city/san-francisco/2026-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-23T17:24:45.438Z","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":"2026-07-23T17:24:45.438Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-23T17:24:45.438Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-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","Divyāṁśa-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"}}}