{"id":"vidhyamitra:city-day:rishikesh:2001-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2001-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-07-04","date_display":"July 4, 2001 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":2001,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452094.770833,"kali_year":5103,"ahargana":1863629.2708,"sun":{"sidereal_longitude":77.9185,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":240.4364,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.4364,"elapsed_within_degrees":0.4364},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3549},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2001,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452094.770833,"ahargana":1863629.2708,"kali_year":5103,"ayanamsa_lahiri":23.874,"grahas":{"sun":{"sidereal_longitude":78.27730500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":240.31580499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":1.2027},"mars":{"sidereal_longitude":232.91050500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":58.51050500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":64.04950500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":34.27950499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":45.38120500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":75.9528,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":255.9528,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":2001,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452094.770833,"kali_year":5103,"ahargana":1863629.2708,"sun":{"sidereal_longitude":77.9185,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":240.4364,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":162.5179,"elapsed_within_tithi_degrees":6.5179},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.4364,"elapsed_within_degrees":0.4364},"yoga":{"number":24,"name":"Śukla","sum_longitude":318.3549},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.203,"elongation":162.518},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.203,"opposition_distance":17.482}},"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":"05:20","sunsetLocal":"19:22","solarNoonLocal":"12:21","dayLengthHours":14.031105864604807,"dayLengthDisplay":"14 Hours 01 Mins 52 Secs","nightLengthDisplay":"9 Hours 58 Mins 08 Secs","moonriseLocal":"18:04","moonsetLocal":"04:14","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"14:06","startHours":12.349148554276036,"endHours":14.103036787351638,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:50","startHours":7.087483855049234,"endHours":8.841372088124835,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:21","startHours":10.595260321200435,"endHours":12.349148554276036,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:05","startHours":8.607520323714754,"endHours":9.075223852534915,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:18","startHours":5.918225032998833,"endHours":6.292387856054961,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:49","startHours":11.881445025455877,"endHours":12.816852083096196,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:24","startHours":3.4627815066929912,"endHours":4.398188564333312,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:20","startHours":4.164336799923232,"endHours":5.3335956219736325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:37","startHours":14.687666198376837,"endHours":15.623073256017157,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.16470148657844,"endHours":19.56470148657844,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.36470148657844,"endHours":19.94933089760364,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.11470148657844,"endHours":20.86470148657844,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:49","startHours":23.881445025455875,"endHours":24.816852083096194,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:20","end":"07:05","startHours":5.3335956219736325,"endHours":7.087483855049234,"quality":"auspicious"},{"name":"Amṛta","start":"07:05","end":"08:50","startHours":7.087483855049234,"endHours":8.841372088124835,"quality":"auspicious"},{"name":"Kāla","start":"08:50","end":"10:36","startHours":8.841372088124835,"endHours":10.595260321200435,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:21","startHours":10.595260321200435,"endHours":12.349148554276036,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"14:06","startHours":12.349148554276036,"endHours":14.103036787351638,"quality":"inauspicious"},{"name":"Udveg","start":"14:06","end":"15:51","startHours":14.103036787351638,"endHours":15.856925020427237,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:37","startHours":15.856925020427237,"endHours":17.61081325350284,"quality":"neutral"},{"name":"Labha","start":"17:37","end":"19:22","startHours":17.61081325350284,"endHours":19.36470148657844,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:22","end":"20:37","startHours":19.36470148657844,"endHours":20.61081325350284,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"21:51","startHours":20.61081325350284,"endHours":21.856925020427237,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:06","startHours":21.856925020427237,"endHours":23.103036787351638,"quality":"auspicious"},{"name":"Amṛta","start":"23:06","end":"00:21","startHours":23.103036787351638,"endHours":24.349148554276034,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"01:36","startHours":24.349148554276034,"endHours":25.595260321200435,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:50","startHours":25.595260321200435,"endHours":26.841372088124835,"quality":"auspicious"},{"name":"Roga","start":"02:50","end":"04:05","startHours":26.841372088124835,"endHours":28.087483855049236,"quality":"inauspicious"},{"name":"Udveg","start":"04:05","end":"05:20","startHours":28.087483855049236,"endHours":29.333595621973632,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.3335956219736325,"endHours":6.3335956219736325,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.3335956219736325,"endHours":7.3335956219736325,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.3335956219736325,"endHours":8.333595621973632,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.333595621973632,"endHours":9.333595621973632,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.333595621973632,"endHours":10.333595621973632,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.333595621973632,"endHours":11.333595621973632,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.333595621973632,"endHours":12.333595621973632,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.333595621973632,"endHours":13.333595621973632,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.333595621973632,"endHours":14.333595621973632,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.333595621973632,"endHours":15.333595621973632,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.333595621973632,"endHours":16.333595621973632,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.333595621973632,"endHours":17.333595621973632,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.333595621973632,"endHours":18.333595621973632,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.333595621973632,"endHours":19.333595621973632,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.333595621973632,"endHours":20.333595621973632,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.333595621973632,"endHours":21.333595621973632,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.333595621973632,"endHours":22.333595621973632,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.333595621973632,"endHours":23.333595621973632,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.333595621973632,"endHours":24.333595621973632,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.333595621973632,"endHours":25.333595621973632,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.333595621973632,"endHours":26.333595621973632,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.333595621973632,"endHours":27.333595621973632,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.333595621973632,"endHours":28.333595621973632,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.333595621973632,"endHours":29.333595621973632,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":22.881178509351667,"eotMinutes":-4.019313256562166,"ayanamsa":23.874}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 4, 2001 CE · Ṛṣikeśa · Vidhyamitra","description":"July 4, 2001 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 05:20, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2001-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2001-07-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2001-07-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2001-07-04","x-default":"https://vidhyamitra.com/city/rishikesh/2001-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T22:33:34.904Z","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":"2026-05-16T22:33:34.904Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T22:33:34.904Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}