{"id":"vidhyamitra:city-day:varanasi:2013-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2013-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-10-21","date_display":"October 21, 2013 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":2013,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456586.770833,"kali_year":5115,"ahargana":1868121.2708,"sun":{"sidereal_longitude":183.0055,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":29.6705,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.665,"elapsed_within_tithi_degrees":2.665},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.6705,"elapsed_within_degrees":3.0038},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.676},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2013,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456586.770833,"ahargana":1868121.2708,"kali_year":5115,"ayanamsa_lahiri":24.0458,"grahas":{"sun":{"sidereal_longitude":183.760178,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":28.047777999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-0.9136},"mars":{"sidereal_longitude":129.10037799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":204.42297800000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":85.39497800000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":230.198978,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":197.966278,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":197.945,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.945,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":2013,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456586.770833,"kali_year":5115,"ahargana":1868121.2708,"sun":{"sidereal_longitude":183.0055,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":29.6705,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.665,"elapsed_within_tithi_degrees":2.665},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.6705,"elapsed_within_degrees":3.0038},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.676},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.914,"elongation":153.335},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.914,"opposition_distance":26.665}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":1.128,"opposition_distance":2.501}]},"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":"05:59","sunsetLocal":"17:26","solarNoonLocal":"11:42","dayLengthHours":11.442169217942997,"dayLengthDisplay":"11 Hours 26 Mins 32 Secs","nightLengthDisplay":"12 Hours 33 Mins 28 Secs","moonriseLocal":"18:41","moonsetLocal":"07:58","rahuKala":{"name":"Rāhu Kāla","start":"07:25","end":"08:51","startHours":7.413769533826299,"endHours":8.844040686069174,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:16","end":"11:42","startHours":10.274311838312048,"endHours":11.704582990554922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:08","end":"14:34","startHours":13.134854142797797,"endHours":14.565125295040673,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:02","startHours":8.653337865770123,"endHours":9.034743506368223,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:46","startHours":6.460255432331049,"endHours":6.7653799448095295,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:05","startHours":11.323177349956822,"endHours":12.085988631153022,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:13","startHours":4.457875819191025,"endHours":5.220687100387225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"05:59","startHours":5.029984280088175,"endHours":5.983498381583424,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:22","startHours":13.611611193545421,"endHours":14.374422474741621,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22566759952642,"endHours":17.62566759952642,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:54","startHours":17.42566759952642,"endHours":17.902424650274046,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17566759952642,"endHours":18.92566759952642,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:05","startHours":23.323177349956822,"endHours":24.085988631153022,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:59","end":"07:25","startHours":5.983498381583424,"endHours":7.413769533826299,"quality":"auspicious"},{"name":"Kāla","start":"07:25","end":"08:51","startHours":7.413769533826299,"endHours":8.844040686069174,"quality":"inauspicious"},{"name":"Śubha","start":"08:51","end":"10:16","startHours":8.844040686069174,"endHours":10.274311838312048,"quality":"auspicious"},{"name":"Roga","start":"10:16","end":"11:42","startHours":10.274311838312048,"endHours":11.704582990554922,"quality":"inauspicious"},{"name":"Udveg","start":"11:42","end":"13:08","startHours":11.704582990554922,"endHours":13.134854142797797,"quality":"inauspicious"},{"name":"Chala","start":"13:08","end":"14:34","startHours":13.134854142797797,"endHours":14.565125295040673,"quality":"neutral"},{"name":"Labha","start":"14:34","end":"16:00","startHours":14.565125295040673,"endHours":15.995396447283547,"quality":"auspicious"},{"name":"Amṛta","start":"16:00","end":"17:26","startHours":15.995396447283547,"endHours":17.42566759952642,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:26","end":"19:00","startHours":17.42566759952642,"endHours":18.995396447283547,"quality":"neutral"},{"name":"Labha","start":"19:00","end":"20:34","startHours":18.995396447283547,"endHours":20.565125295040673,"quality":"auspicious"},{"name":"Amṛta","start":"20:34","end":"22:08","startHours":20.565125295040673,"endHours":22.134854142797796,"quality":"auspicious"},{"name":"Kāla","start":"22:08","end":"23:42","startHours":22.134854142797796,"endHours":23.704582990554922,"quality":"inauspicious"},{"name":"Śubha","start":"23:42","end":"01:16","startHours":23.704582990554922,"endHours":25.274311838312048,"quality":"auspicious"},{"name":"Roga","start":"01:16","end":"02:51","startHours":25.274311838312048,"endHours":26.84404068606917,"quality":"inauspicious"},{"name":"Udveg","start":"02:51","end":"04:25","startHours":26.84404068606917,"endHours":28.413769533826297,"quality":"inauspicious"},{"name":"Chala","start":"04:25","end":"05:59","startHours":28.413769533826297,"endHours":29.983498381583424,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.983498381583424,"endHours":6.983498381583424,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.983498381583424,"endHours":7.983498381583424,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.983498381583424,"endHours":8.983498381583424,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.983498381583424,"endHours":9.983498381583424,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.983498381583424,"endHours":10.983498381583424,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.983498381583424,"endHours":11.983498381583424,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.983498381583424,"endHours":12.983498381583424,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.983498381583424,"endHours":13.983498381583424,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.983498381583424,"endHours":14.983498381583424,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.983498381583424,"endHours":15.983498381583424,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.983498381583424,"endHours":16.983498381583424,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.983498381583424,"endHours":17.983498381583424,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.983498381583424,"endHours":18.983498381583424,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.983498381583424,"endHours":19.983498381583424,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.983498381583424,"endHours":20.983498381583424,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.983498381583424,"endHours":21.983498381583424,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.983498381583424,"endHours":22.983498381583424,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.983498381583424,"endHours":23.983498381583424,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.983498381583424,"endHours":24.983498381583424,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.983498381583424,"endHours":25.983498381583424,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.983498381583424,"endHours":26.983498381583424,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.983498381583424,"endHours":27.983498381583424,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.983498381583424,"endHours":28.983498381583424,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.983498381583424,"endHours":29.983498381583424,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.692256465916953,"eotMinutes":15.829420566704727,"ayanamsa":24.0458}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Tṛtīyā · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[],"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":"Somavāra (Monday) — 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 21, 2013 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 21, 2013 CE for Vārāṇasī (Kāśī): Kṛṣṇa Tṛtīyā, sūryodaya 05:59, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2013-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2013-10-21","sa":"https://sa.vidhyamitra.com/city/varanasi/2013-10-21","hi":"https://hi.vidhyamitra.com/city/varanasi/2013-10-21","x-default":"https://vidhyamitra.com/city/varanasi/2013-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-25T03:29:36.604Z","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":"2026-08-25T03:29:36.604Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-25T03:29:36.604Z","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"}}}