{"id":"vidhyamitra:city-day:varanasi:2021-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2021-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-15","date_display":"October 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459502.770833,"kali_year":5123,"ahargana":1871037.2708,"sun":{"sidereal_longitude":176.9667,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":289.453,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.4863,"elapsed_within_tithi_degrees":4.4863},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.453,"elapsed_within_degrees":9.453},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4198},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459502.770833,"ahargana":1871037.2708,"kali_year":5123,"ayanamsa_lahiri":24.1574,"grahas":{"sun":{"sidereal_longitude":177.75446499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":291.777865,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-4.1106},"mars":{"sidereal_longitude":175.15126499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":166.992165,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":298.165165,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":223.814665,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.769365,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":43.4413,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.4413,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459502.770833,"kali_year":5123,"ahargana":1871037.2708,"sun":{"sidereal_longitude":176.9667,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":289.453,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.4863,"elapsed_within_tithi_degrees":4.4863},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.453,"elapsed_within_degrees":9.453},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4198},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.111,"elongation":112.486},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.111,"opposition_distance":67.514}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:56","sunsetLocal":"17:31","solarNoonLocal":"11:43","dayLengthHours":11.581609342514902,"dayLengthDisplay":"11 Hours 34 Mins 54 Secs","nightLengthDisplay":"12 Hours 25 Mins 06 Secs","moonriseLocal":"13:48","moonsetLocal":"00:51","rahuKala":{"name":"Rāhu Kāla","start":"10:16","end":"11:43","startHours":10.273091659330504,"endHours":11.720792827144866,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:37","end":"16:04","startHours":14.616195162773593,"endHours":16.063896330587955,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:23","end":"08:50","startHours":7.377689323701778,"endHours":8.825390491516142,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:01","startHours":8.632363669140894,"endHours":9.01841731389139,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:43","startHours":6.412555211825537,"endHours":6.7213981276259345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:06","startHours":11.334739182394369,"endHours":12.106846471895363,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:09","startHours":4.385773576885429,"endHours":5.157880866386423,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:56","startHours":4.964854044011174,"endHours":5.929988155887416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:25","startHours":13.65106105089735,"endHours":14.423168340398345,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.311597498402318,"endHours":17.711597498402316,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"18:00","startHours":17.511597498402317,"endHours":17.994164554340436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.261597498402317,"endHours":19.011597498402317,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:06","startHours":23.33473918239437,"endHours":24.106846471895363,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:56","end":"07:23","startHours":5.929988155887416,"endHours":7.377689323701778,"quality":"neutral"},{"name":"Labha","start":"07:23","end":"08:50","startHours":7.377689323701778,"endHours":8.825390491516142,"quality":"auspicious"},{"name":"Amṛta","start":"08:50","end":"10:16","startHours":8.825390491516142,"endHours":10.273091659330504,"quality":"auspicious"},{"name":"Kāla","start":"10:16","end":"11:43","startHours":10.273091659330504,"endHours":11.720792827144866,"quality":"inauspicious"},{"name":"Śubha","start":"11:43","end":"13:10","startHours":11.720792827144866,"endHours":13.16849399495923,"quality":"auspicious"},{"name":"Roga","start":"13:10","end":"14:37","startHours":13.16849399495923,"endHours":14.616195162773593,"quality":"inauspicious"},{"name":"Udveg","start":"14:37","end":"16:04","startHours":14.616195162773593,"endHours":16.063896330587955,"quality":"inauspicious"},{"name":"Chala","start":"16:04","end":"17:31","startHours":16.063896330587955,"endHours":17.511597498402317,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:31","end":"19:04","startHours":17.511597498402317,"endHours":19.063896330587955,"quality":"inauspicious"},{"name":"Udveg","start":"19:04","end":"20:37","startHours":19.063896330587955,"endHours":20.616195162773593,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"22:10","startHours":20.616195162773593,"endHours":22.168493994959228,"quality":"neutral"},{"name":"Labha","start":"22:10","end":"23:43","startHours":22.168493994959228,"endHours":23.720792827144866,"quality":"auspicious"},{"name":"Amṛta","start":"23:43","end":"01:16","startHours":23.720792827144866,"endHours":25.273091659330504,"quality":"auspicious"},{"name":"Kāla","start":"01:16","end":"02:50","startHours":25.273091659330504,"endHours":26.82539049151614,"quality":"inauspicious"},{"name":"Śubha","start":"02:50","end":"04:23","startHours":26.82539049151614,"endHours":28.377689323701777,"quality":"auspicious"},{"name":"Roga","start":"04:23","end":"05:56","startHours":28.377689323701777,"endHours":29.929988155887415,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.929988155887416,"endHours":6.929988155887416,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.929988155887416,"endHours":7.929988155887416,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.929988155887416,"endHours":8.929988155887415,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.929988155887415,"endHours":9.929988155887415,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.929988155887415,"endHours":10.929988155887415,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.929988155887415,"endHours":11.929988155887415,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.929988155887415,"endHours":12.929988155887415,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.929988155887415,"endHours":13.929988155887415,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.929988155887415,"endHours":14.929988155887415,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.929988155887415,"endHours":15.929988155887415,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.929988155887415,"endHours":16.929988155887415,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.929988155887415,"endHours":17.929988155887415,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.929988155887415,"endHours":18.929988155887415,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.929988155887415,"endHours":19.929988155887415,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.929988155887415,"endHours":20.929988155887415,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.929988155887415,"endHours":21.929988155887415,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.929988155887415,"endHours":22.929988155887415,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.929988155887415,"endHours":23.929988155887415,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.929988155887415,"endHours":24.929988155887415,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.929988155887415,"endHours":25.929988155887415,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.929988155887415,"endHours":26.929988155887415,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.929988155887415,"endHours":27.929988155887415,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.929988155887415,"endHours":28.929988155887415,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.929988155887415,"endHours":29.929988155887415,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","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":-8.535708385319746,"eotMinutes":14.85683037130801,"ayanamsa":24.1574}},"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":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Daśamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"vijaya-dashami","name":"Vijaya Daśamī (Dasarā / Daśaharā)","name_sanskrit":"विजय दशमी","tradition":"Pan-Hindu","associated_deity":"Rāma (Rāvaṇa-vadha) + Durgā (Mahiṣāsura-vadha)","significance":"Rāma's victory over Rāvaṇa; Durgā's victory; ārambha-divasa for śilpa-kalā.","vrata":true,"primary_observance":"Rāvaṇa-dahana; Aparājitā-pūjā; Śastra-pūjā","detection":{"tithi_number":10,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1,"sources":["Vālmīki Rāmāyaṇa, Yuddha-Kāṇḍa","Devī Mahātmya"]}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Vijaya Daśamī (Dasarā / Daśaharā) is not live yet; Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 15, 2021 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 15, 2021 CE for Vārāṇasī (Kāśī): Śukla Daśamī, sūryodaya 05:56, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2021-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2021-10-15","sa":"https://sa.vidhyamitra.com/city/varanasi/2021-10-15","hi":"https://hi.vidhyamitra.com/city/varanasi/2021-10-15","x-default":"https://vidhyamitra.com/city/varanasi/2021-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-25T03:25:51.047Z","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":"2026-08-25T03:25:51.047Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-25T03:25:51.047Z","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"}}}