{"id":"vidhyamitra:city-day:rishikesh:2013-03-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-03-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-03-18","date_display":"March 18, 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":3,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456369.770833,"kali_year":5114,"ahargana":1867904.2708,"sun":{"sidereal_longitude":333.7144,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":46.8459,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1314,"elapsed_within_tithi_degrees":1.1314},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.8459,"elapsed_within_degrees":6.8459},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.5603},"karana":{"half_tithi_index":12,"name":"Gara"},"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":3,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456369.770833,"ahargana":1867904.2708,"kali_year":5114,"ayanamsa_lahiri":24.0375,"grahas":{"sun":{"sidereal_longitude":333.566769,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":45.264669000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-1.3447},"mars":{"sidereal_longitude":340.278369,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":311.474469,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":45.26286900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":330.70116899999994,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.61236899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":209.4427,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.4427,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":3,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456369.770833,"kali_year":5114,"ahargana":1867904.2708,"sun":{"sidereal_longitude":333.7144,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":46.8459,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.1314,"elapsed_within_tithi_degrees":1.1314},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.8459,"elapsed_within_degrees":6.8459},"yoga":{"number":2,"name":"Prīti","sum_longitude":20.5603},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.345,"elongation":73.131},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.345,"opposition_distance":106.869}},"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":"06:24","sunsetLocal":"18:27","solarNoonLocal":"12:26","dayLengthHours":12.054777909430067,"dayLengthDisplay":"12 Hours 03 Mins 17 Secs","nightLengthDisplay":"11 Hours 56 Mins 43 Secs","moonriseLocal":"10:16","moonsetLocal":"00:09","rahuKala":{"name":"Rāhu Kāla","start":"07:54","end":"09:25","startHours":7.907683184622276,"endHours":9.414530423301034,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:55","end":"12:26","startHours":10.921377661979793,"endHours":12.428224900658552,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:27","startHours":13.93507213933731,"endHours":15.441919378016069,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:37","startHours":9.213617458143867,"endHours":9.615443388458203,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:54","end":"07:13","startHours":6.903118358836437,"endHours":7.224579103087906,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:50","startHours":12.026398970344214,"endHours":12.830050830972887,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:48","end":"05:36","startHours":4.793532224686176,"endHours":5.597184085314847,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:24","startHours":5.396271120157679,"endHours":6.400835945943518,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.437354552230229,"endHours":15.2410064128589,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.255613855373586,"endHours":18.655613855373584,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.455613855373585,"endHours":18.957896268266506,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.205613855373585,"endHours":19.955613855373585,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:50","startHours":24.026398970344214,"endHours":24.830050830972883,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:24","end":"07:54","startHours":6.400835945943518,"endHours":7.907683184622276,"quality":"auspicious"},{"name":"Kāla","start":"07:54","end":"09:25","startHours":7.907683184622276,"endHours":9.414530423301034,"quality":"inauspicious"},{"name":"Śubha","start":"09:25","end":"10:55","startHours":9.414530423301034,"endHours":10.921377661979793,"quality":"auspicious"},{"name":"Roga","start":"10:55","end":"12:26","startHours":10.921377661979793,"endHours":12.428224900658552,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:56","startHours":12.428224900658552,"endHours":13.93507213933731,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:27","startHours":13.93507213933731,"endHours":15.441919378016069,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"16:57","startHours":15.441919378016069,"endHours":16.948766616694826,"quality":"auspicious"},{"name":"Amṛta","start":"16:57","end":"18:27","startHours":16.948766616694826,"endHours":18.455613855373585,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:27","end":"19:57","startHours":18.455613855373585,"endHours":19.948766616694826,"quality":"neutral"},{"name":"Labha","start":"19:57","end":"21:27","startHours":19.948766616694826,"endHours":21.441919378016067,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:56","startHours":21.441919378016067,"endHours":22.935072139337308,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:26","startHours":22.935072139337308,"endHours":24.428224900658552,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"01:55","startHours":24.428224900658552,"endHours":25.921377661979793,"quality":"auspicious"},{"name":"Roga","start":"01:55","end":"03:25","startHours":25.921377661979793,"endHours":27.414530423301034,"quality":"inauspicious"},{"name":"Udveg","start":"03:25","end":"04:54","startHours":27.414530423301034,"endHours":28.90768318462228,"quality":"inauspicious"},{"name":"Chala","start":"04:54","end":"06:24","startHours":28.90768318462228,"endHours":30.40083594594352,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.400835945943518,"endHours":7.400835945943518,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.400835945943518,"endHours":8.400835945943518,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.400835945943518,"endHours":9.400835945943518,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.400835945943518,"endHours":10.400835945943518,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.400835945943518,"endHours":11.400835945943518,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.400835945943518,"endHours":12.400835945943518,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.400835945943518,"endHours":13.400835945943518,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.400835945943518,"endHours":14.400835945943518,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.400835945943518,"endHours":15.400835945943518,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.400835945943518,"endHours":16.40083594594352,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.40083594594352,"endHours":17.40083594594352,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.40083594594352,"endHours":18.40083594594352,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.40083594594352,"endHours":19.40083594594352,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.40083594594352,"endHours":20.40083594594352,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.40083594594352,"endHours":21.40083594594352,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.40083594594352,"endHours":22.40083594594352,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.40083594594352,"endHours":23.40083594594352,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.40083594594352,"endHours":24.40083594594352,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.40083594594352,"endHours":25.40083594594352,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.40083594594352,"endHours":26.40083594594352,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.40083594594352,"endHours":27.40083594594352,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.40083594594352,"endHours":28.40083594594352,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.40083594594352,"endHours":29.40083594594352,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.40083594594352,"endHours":30.40083594594352,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-0.9526262441125031,"eotMinutes":-8.763894039513033,"ayanamsa":24.0375}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Saptamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 March 18, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"March 18, 2013 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:24, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-03-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-03-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-03-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-03-18","x-default":"https://vidhyamitra.com/city/rishikesh/2013-03-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T14:07:10.476Z","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":"2026-05-17T14:07:10.476Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T14:07:10.476Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}