{"id":"vidhyamitra:city-day:varanasi:2013-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/2013-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-07-13","date_display":"July 13, 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":"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":2013,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456486.770833,"kali_year":5115,"ahargana":1868021.2708,"sun":{"sidereal_longitude":86.3388,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":142.7952,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.4564,"elapsed_within_tithi_degrees":8.4564},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.7952,"elapsed_within_degrees":9.4619},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.134},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2013,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456486.770833,"ahargana":1868021.2708,"kali_year":5115,"ayanamsa_lahiri":24.042,"grahas":{"sun":{"sidereal_longitude":86.78709800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":139.872098,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.9136},"mars":{"sidereal_longitude":65.437298,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":81.382498,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":69.30109800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":114.33189800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":190.54699800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":203.2435,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":23.2435,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456486.770833,"kali_year":5115,"ahargana":1868021.2708,"sun":{"sidereal_longitude":86.3388,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":142.7952,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.4564,"elapsed_within_tithi_degrees":8.4564},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.7952,"elapsed_within_degrees":9.4619},"yoga":{"number":18,"name":"Varīyān","sum_longitude":229.134},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.914,"elongation":56.456},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.914,"opposition_distance":123.544}},"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":"05:16","sunsetLocal":"18:51","solarNoonLocal":"12:03","dayLengthHours":13.591002925290427,"dayLengthDisplay":"13 Hours 35 Mins 28 Secs","nightLengthDisplay":"10 Hours 24 Mins 32 Secs","moonriseLocal":"09:21","moonsetLocal":"21:50","rahuKala":{"name":"Rāhu Kāla","start":"08:40","end":"10:22","startHours":8.66001308278007,"endHours":10.358888448441373,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:27","startHours":13.756639179763981,"endHours":15.455514545425284,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:16","end":"06:58","startHours":5.262262351457464,"endHours":6.961137717118767,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:53","startHours":8.433496367358563,"endHours":8.886529798201577,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:50","end":"06:11","startHours":5.8285541400112315,"endHours":6.190980884685643,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:31","startHours":11.604730383259664,"endHours":12.510797244945692,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:21","startHours":3.450128628085407,"endHours":4.3561954897714354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.129678774349928,"endHours":5.262262351457464,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:14","startHours":14.322930968317749,"endHours":15.228997830003777,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.65326527674789,"endHours":19.05326527674789,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:25","startHours":18.85326527674789,"endHours":19.41955706530166,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.60326527674789,"endHours":20.35326527674789,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:31","startHours":23.604730383259664,"endHours":24.510797244945692,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:16","end":"06:58","startHours":5.262262351457464,"endHours":6.961137717118767,"quality":"inauspicious"},{"name":"Śubha","start":"06:58","end":"08:40","startHours":6.961137717118767,"endHours":8.66001308278007,"quality":"auspicious"},{"name":"Roga","start":"08:40","end":"10:22","startHours":8.66001308278007,"endHours":10.358888448441373,"quality":"inauspicious"},{"name":"Udveg","start":"10:22","end":"12:03","startHours":10.358888448441373,"endHours":12.057763814102678,"quality":"inauspicious"},{"name":"Chala","start":"12:03","end":"13:45","startHours":12.057763814102678,"endHours":13.756639179763981,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:27","startHours":13.756639179763981,"endHours":15.455514545425284,"quality":"auspicious"},{"name":"Amṛta","start":"15:27","end":"17:09","startHours":15.455514545425284,"endHours":17.15438991108659,"quality":"auspicious"},{"name":"Kāla","start":"17:09","end":"18:51","startHours":17.15438991108659,"endHours":18.85326527674789,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:51","end":"20:09","startHours":18.85326527674789,"endHours":20.154389911086586,"quality":"auspicious"},{"name":"Amṛta","start":"20:09","end":"21:27","startHours":20.154389911086586,"endHours":21.455514545425284,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"22:45","startHours":21.455514545425284,"endHours":22.75663917976398,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:03","startHours":22.75663917976398,"endHours":24.057763814102678,"quality":"auspicious"},{"name":"Roga","start":"00:03","end":"01:22","startHours":24.057763814102678,"endHours":25.358888448441373,"quality":"inauspicious"},{"name":"Udveg","start":"01:22","end":"02:40","startHours":25.358888448441373,"endHours":26.66001308278007,"quality":"inauspicious"},{"name":"Chala","start":"02:40","end":"03:58","startHours":26.66001308278007,"endHours":27.961137717118767,"quality":"neutral"},{"name":"Labha","start":"03:58","end":"05:16","startHours":27.961137717118767,"endHours":29.262262351457466,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.262262351457464,"endHours":6.262262351457464,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.262262351457464,"endHours":7.262262351457464,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.262262351457464,"endHours":8.262262351457464,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.262262351457464,"endHours":9.262262351457464,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.262262351457464,"endHours":10.262262351457464,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.262262351457464,"endHours":11.262262351457464,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.262262351457464,"endHours":12.262262351457464,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.262262351457464,"endHours":13.262262351457464,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.262262351457464,"endHours":14.262262351457464,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.262262351457464,"endHours":15.262262351457464,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.262262351457464,"endHours":16.262262351457466,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.262262351457466,"endHours":17.262262351457466,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.262262351457466,"endHours":18.262262351457466,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.262262351457466,"endHours":19.262262351457466,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.262262351457466,"endHours":20.262262351457466,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.262262351457466,"endHours":21.262262351457466,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.262262351457466,"endHours":22.262262351457466,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.262262351457466,"endHours":23.262262351457466,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.262262351457466,"endHours":24.262262351457466,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.262262351457466,"endHours":25.262262351457466,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.262262351457466,"endHours":26.262262351457466,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.262262351457466,"endHours":27.262262351457466,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.262262351457466,"endHours":28.262262351457466,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.262262351457466,"endHours":29.262262351457466,"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"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.822889957972826,"eotMinutes":-5.361428846160681,"ayanamsa":24.042}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pañcamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2013 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"July 13, 2013 CE for Vārāṇasī (Kāśī): Śukla Pañcamī, sūryodaya 05:16, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/2013-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/2013-07-13","sa":"https://sa.vidhyamitra.com/city/varanasi/2013-07-13","hi":"https://hi.vidhyamitra.com/city/varanasi/2013-07-13","x-default":"https://vidhyamitra.com/city/varanasi/2013-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:23:10.440Z","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":"2026-05-14T17:23:10.440Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:23:10.440Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}