{"id":"vidhyamitra:city-day:rishikesh:2002-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2002-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-07-13","date_display":"July 13, 2002 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":2002,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452468.770833,"kali_year":5104,"ahargana":1864003.2708,"sun":{"sidereal_longitude":86.1933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":119.0451,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.8519,"elapsed_within_tithi_degrees":8.8519},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.0451,"elapsed_within_degrees":12.3785},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.2384},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2002,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452468.770833,"ahargana":1864003.2708,"kali_year":5104,"ayanamsa_lahiri":23.8883,"grahas":{"sun":{"sidereal_longitude":86.614216,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":120.96841599999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":4.0054},"mars":{"sidereal_longitude":95.717716,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":77.128916,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":91.63261599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":128.50541600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":58.760515999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":56.1365,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":236.1365,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452468.770833,"kali_year":5104,"ahargana":1864003.2708,"sun":{"sidereal_longitude":86.1933,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":119.0451,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.8519,"elapsed_within_tithi_degrees":8.8519},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.0451,"elapsed_within_degrees":12.3785},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.2384},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.005,"elongation":32.852},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.005,"opposition_distance":147.148}},"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":"05:24","sunsetLocal":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.935752278792686,"dayLengthDisplay":"13 Hours 56 Mins 09 Secs","nightLengthDisplay":"10 Hours 03 Mins 51 Secs","moonriseLocal":"08:06","moonsetLocal":"21:14","rahuKala":{"name":"Rāhu Kāla","start":"08:53","end":"10:38","startHours":8.88757907773784,"endHours":10.629548112586926,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:51","startHours":14.113486182285097,"endHours":15.855455217134184,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:24","end":"07:09","startHours":5.403641008039669,"endHours":7.145610042888754,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:07","startHours":8.655316539757962,"endHours":9.119841615717718,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.984297352989364,"endHours":6.355917413757169,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.906992071476257,"endHours":12.836042223395769,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:28","startHours":3.5455407042006444,"endHours":4.474590856120156,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:24","startHours":4.242328318140278,"endHours":5.403641008039669,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.694142527234792,"endHours":15.623192679154304,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.139393286832355,"endHours":19.539393286832354,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.339393286832355,"endHours":19.92004963178205,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.089393286832355,"endHours":20.839393286832355,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.906992071476257,"endHours":24.83604222339577,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:24","end":"07:09","startHours":5.403641008039669,"endHours":7.145610042888754,"quality":"inauspicious"},{"name":"Śubha","start":"07:09","end":"08:53","startHours":7.145610042888754,"endHours":8.88757907773784,"quality":"auspicious"},{"name":"Roga","start":"08:53","end":"10:38","startHours":8.88757907773784,"endHours":10.629548112586926,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:22","startHours":10.629548112586926,"endHours":12.371517147436013,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.113486182285097,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:51","startHours":14.113486182285097,"endHours":15.855455217134184,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:36","startHours":15.855455217134184,"endHours":17.59742425198327,"quality":"auspicious"},{"name":"Kāla","start":"17:36","end":"19:20","startHours":17.59742425198327,"endHours":19.339393286832355,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:20","end":"20:36","startHours":19.339393286832355,"endHours":20.59742425198327,"quality":"auspicious"},{"name":"Amṛta","start":"20:36","end":"21:51","startHours":20.59742425198327,"endHours":21.855455217134182,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:07","startHours":21.855455217134182,"endHours":23.113486182285097,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:22","startHours":23.113486182285097,"endHours":24.371517147436013,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.629548112586924,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"02:53","startHours":25.629548112586924,"endHours":26.88757907773784,"quality":"inauspicious"},{"name":"Chala","start":"02:53","end":"04:09","startHours":26.88757907773784,"endHours":28.145610042888755,"quality":"neutral"},{"name":"Labha","start":"04:09","end":"05:24","startHours":28.145610042888755,"endHours":29.40364100803967,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.403641008039669,"endHours":6.403641008039669,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.403641008039669,"endHours":7.403641008039669,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.403641008039669,"endHours":8.403641008039669,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.403641008039669,"endHours":9.403641008039669,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.403641008039669,"endHours":10.403641008039669,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.403641008039669,"endHours":11.403641008039669,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.403641008039669,"endHours":12.403641008039669,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.403641008039669,"endHours":13.403641008039669,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.403641008039669,"endHours":14.403641008039669,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.403641008039669,"endHours":15.403641008039669,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.403641008039669,"endHours":16.40364100803967,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40364100803967,"endHours":17.40364100803967,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40364100803967,"endHours":18.40364100803967,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40364100803967,"endHours":19.40364100803967,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40364100803967,"endHours":20.40364100803967,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40364100803967,"endHours":21.40364100803967,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40364100803967,"endHours":22.40364100803967,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40364100803967,"endHours":23.40364100803967,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40364100803967,"endHours":24.40364100803967,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40364100803967,"endHours":25.40364100803967,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40364100803967,"endHours":26.40364100803967,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40364100803967,"endHours":27.40364100803967,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40364100803967,"endHours":28.40364100803967,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40364100803967,"endHours":29.40364100803967,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","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":"Saumya","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":21.872278233290018,"eotMinutes":-5.361428846160681,"ayanamsa":23.8883}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Tṛtīyā · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"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":"rishikesh"},"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, 2002 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2002 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 05:24, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2002-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2002-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2002-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2002-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2002-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T04:06:56.462Z","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":"2026-05-17T04:06:56.462Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T04:06:56.462Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}