{"id":"vidhyamitra:city-day:rishikesh:2013-06-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-06-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-06-21","date_display":"June 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":"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":6,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456464.770833,"kali_year":5115,"ahargana":1867999.2708,"sun":{"sidereal_longitude":65.5121,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":212.7321,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.22,"elapsed_within_tithi_degrees":3.22},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.7321,"elapsed_within_degrees":12.7321},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.2442},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2013,"month":6,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456464.770833,"ahargana":1867999.2708,"kali_year":5115,"ayanamsa_lahiri":24.0412,"grahas":{"sun":{"sidereal_longitude":65.80813899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":211.37093900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":0.6507},"mars":{"sidereal_longitude":50.318138999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":87.85933899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":64.31613900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":87.66853900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":190.77213900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":204.4092,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":24.4092,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":6,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456464.770833,"kali_year":5115,"ahargana":1867999.2708,"sun":{"sidereal_longitude":65.5121,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":212.7321,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.22,"elapsed_within_tithi_degrees":3.22},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":212.7321,"elapsed_within_degrees":12.7321},"yoga":{"number":21,"name":"Siddha","sum_longitude":278.2442},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.651,"elongation":147.22},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.651,"opposition_distance":32.78}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:16","sunsetLocal":"19:21","solarNoonLocal":"12:18","dayLengthHours":14.084344767737058,"dayLengthDisplay":"14 Hours 05 Mins 04 Secs","nightLengthDisplay":"9 Hours 54 Mins 56 Secs","moonriseLocal":"16:44","moonsetLocal":"03:17","rahuKala":{"name":"Rāhu Kāla","start":"10:33","end":"12:18","startHours":10.545740915594262,"endHours":12.306284011561395,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:50","end":"17:35","startHours":15.82737020349566,"endHours":17.58791329946279,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:01","end":"08:47","startHours":7.0246547236599985,"endHours":8.78519781962713,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.550458740164846,"endHours":9.019936899089416,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:14","startHours":5.850959326348577,"endHours":6.226541853488232,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:47","startHours":11.836805852636827,"endHours":12.775762170485963,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:23","end":"04:20","startHours":3.386198991994592,"endHours":4.325155309843729,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:16","startHours":4.090416230381445,"endHours":5.264111627692866,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:36","startHours":14.653674806184238,"endHours":15.592631124033375,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.148456395429925,"endHours":19.548456395429923,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:56","startHours":19.348456395429924,"endHours":19.935304094085634,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.098456395429924,"endHours":20.848456395429924,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:47","startHours":23.836805852636825,"endHours":24.775762170485965,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:16","end":"07:01","startHours":5.264111627692866,"endHours":7.0246547236599985,"quality":"neutral"},{"name":"Labha","start":"07:01","end":"08:47","startHours":7.0246547236599985,"endHours":8.78519781962713,"quality":"auspicious"},{"name":"Amṛta","start":"08:47","end":"10:33","startHours":8.78519781962713,"endHours":10.545740915594262,"quality":"auspicious"},{"name":"Kāla","start":"10:33","end":"12:18","startHours":10.545740915594262,"endHours":12.306284011561395,"quality":"inauspicious"},{"name":"Śubha","start":"12:18","end":"14:04","startHours":12.306284011561395,"endHours":14.066827107528528,"quality":"auspicious"},{"name":"Roga","start":"14:04","end":"15:50","startHours":14.066827107528528,"endHours":15.82737020349566,"quality":"inauspicious"},{"name":"Udveg","start":"15:50","end":"17:35","startHours":15.82737020349566,"endHours":17.58791329946279,"quality":"inauspicious"},{"name":"Chala","start":"17:35","end":"19:21","startHours":17.58791329946279,"endHours":19.348456395429924,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:21","end":"20:35","startHours":19.348456395429924,"endHours":20.58791329946279,"quality":"inauspicious"},{"name":"Udveg","start":"20:35","end":"21:50","startHours":20.58791329946279,"endHours":21.82737020349566,"quality":"inauspicious"},{"name":"Chala","start":"21:50","end":"23:04","startHours":21.82737020349566,"endHours":23.06682710752853,"quality":"neutral"},{"name":"Labha","start":"23:04","end":"00:18","startHours":23.06682710752853,"endHours":24.306284011561395,"quality":"auspicious"},{"name":"Amṛta","start":"00:18","end":"01:33","startHours":24.306284011561395,"endHours":25.545740915594262,"quality":"auspicious"},{"name":"Kāla","start":"01:33","end":"02:47","startHours":25.545740915594262,"endHours":26.78519781962713,"quality":"inauspicious"},{"name":"Śubha","start":"02:47","end":"04:01","startHours":26.78519781962713,"endHours":28.02465472366,"quality":"auspicious"},{"name":"Roga","start":"04:01","end":"05:16","startHours":28.02465472366,"endHours":29.264111627692866,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.264111627692866,"endHours":6.264111627692866,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.264111627692866,"endHours":7.264111627692866,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.264111627692866,"endHours":8.264111627692866,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.264111627692866,"endHours":9.264111627692866,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.264111627692866,"endHours":10.264111627692866,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.264111627692866,"endHours":11.264111627692866,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.264111627692866,"endHours":12.264111627692866,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.264111627692866,"endHours":13.264111627692866,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.264111627692866,"endHours":14.264111627692866,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.264111627692866,"endHours":15.264111627692866,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.264111627692866,"endHours":16.264111627692866,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.264111627692866,"endHours":17.264111627692866,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.264111627692866,"endHours":18.264111627692866,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.264111627692866,"endHours":19.264111627692866,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.264111627692866,"endHours":20.264111627692866,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.264111627692866,"endHours":21.264111627692866,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.264111627692866,"endHours":22.264111627692866,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.264111627692866,"endHours":23.264111627692866,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.264111627692866,"endHours":24.264111627692866,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.264111627692866,"endHours":25.264111627692866,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.264111627692866,"endHours":26.264111627692866,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.264111627692866,"endHours":27.264111627692866,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.264111627692866,"endHours":28.264111627692866,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.264111627692866,"endHours":29.264111627692866,"planetary_lord":"Mars"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":23.436414131682014,"eotMinutes":-1.4474406936836473,"ayanamsa":24.0412}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"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":"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":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga June 21, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"June 21, 2013 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 05:16, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-06-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-06-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-06-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-06-21","x-default":"https://vidhyamitra.com/city/rishikesh/2013-06-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:49:11.450Z","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":"2026-05-30T23:49:11.450Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:49:11.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}