{"id":"vidhyamitra:city-day:rishikesh:2018-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2018-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-03-13","date_display":"March 13, 2018 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":2018,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458190.770833,"kali_year":5119,"ahargana":1869725.2708,"sun":{"sidereal_longitude":328.437,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":275.7993,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.3623,"elapsed_within_tithi_degrees":7.3623},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.7993,"elapsed_within_degrees":9.1326},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.2363},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2018,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458190.770833,"ahargana":1869725.2708,"kali_year":5119,"ayanamsa_lahiri":24.1072,"grahas":{"sun":{"sidereal_longitude":328.303393,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":277.004593,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":1.3263},"mars":{"sidereal_longitude":242.93269299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":346.019693,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":208.89509299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":343.196493,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":253.854693,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":112.9574,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":292.9574,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2018,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458190.770833,"kali_year":5119,"ahargana":1869725.2708,"sun":{"sidereal_longitude":328.437,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":275.7993,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":307.3623,"elapsed_within_tithi_degrees":7.3623},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.7993,"elapsed_within_degrees":9.1326},"yoga":{"number":19,"name":"Parigha","sum_longitude":244.2363},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.326,"elongation":52.638},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.326,"opposition_distance":127.362}},"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":"06:30","sunsetLocal":"18:24","solarNoonLocal":"12:27","dayLengthHours":11.89570785895972,"dayLengthDisplay":"11 Hours 53 Mins 45 Secs","nightLengthDisplay":"12 Hours 06 Mins 15 Secs","moonriseLocal":"03:47","moonsetLocal":"14:16","rahuKala":{"name":"Rāhu Kāla","start":"15:26","end":"16:55","startHours":15.426385630220077,"endHours":16.91334911259004,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:29","end":"10:58","startHours":9.478531700740216,"endHours":10.965495183110182,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:27","end":"13:56","startHours":12.452458665480147,"endHours":13.939422147850111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:41","startHours":9.280269903090888,"endHours":9.676793498389546,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:19","startHours":7.000259230123609,"endHours":7.317478106362534,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.05593507018149,"endHours":12.848982260778804,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:43","startHours":4.918510354805658,"endHours":5.711557545402973,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:30","startHours":5.513295747753643,"endHours":6.504604736000287,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.435076641973433,"endHours":15.228123832570748,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.200312594960007,"endHours":18.600312594960005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:54","startHours":18.400312594960006,"endHours":18.895967089083328,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.150312594960006,"endHours":19.900312594960006,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.05593507018149,"endHours":24.848982260778804,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:30","end":"07:59","startHours":6.504604736000287,"endHours":7.991568218370252,"quality":"inauspicious"},{"name":"Udveg","start":"07:59","end":"09:29","startHours":7.991568218370252,"endHours":9.478531700740216,"quality":"inauspicious"},{"name":"Chala","start":"09:29","end":"10:58","startHours":9.478531700740216,"endHours":10.965495183110182,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:27","startHours":10.965495183110182,"endHours":12.452458665480147,"quality":"auspicious"},{"name":"Amṛta","start":"12:27","end":"13:56","startHours":12.452458665480147,"endHours":13.939422147850111,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:26","startHours":13.939422147850111,"endHours":15.426385630220077,"quality":"inauspicious"},{"name":"Śubha","start":"15:26","end":"16:55","startHours":15.426385630220077,"endHours":16.91334911259004,"quality":"auspicious"},{"name":"Roga","start":"16:55","end":"18:24","startHours":16.91334911259004,"endHours":18.400312594960006,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:24","end":"19:55","startHours":18.400312594960006,"endHours":19.91334911259004,"quality":"inauspicious"},{"name":"Śubha","start":"19:55","end":"21:26","startHours":19.91334911259004,"endHours":21.426385630220075,"quality":"auspicious"},{"name":"Roga","start":"21:26","end":"22:56","startHours":21.426385630220075,"endHours":22.93942214785011,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:27","startHours":22.93942214785011,"endHours":24.452458665480147,"quality":"inauspicious"},{"name":"Chala","start":"00:27","end":"01:58","startHours":24.452458665480147,"endHours":25.965495183110182,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:29","startHours":25.965495183110182,"endHours":27.478531700740216,"quality":"auspicious"},{"name":"Amṛta","start":"03:29","end":"04:59","startHours":27.478531700740216,"endHours":28.991568218370254,"quality":"auspicious"},{"name":"Kāla","start":"04:59","end":"06:30","startHours":28.991568218370254,"endHours":30.50460473600029,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.504604736000287,"endHours":7.504604736000287,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.504604736000287,"endHours":8.504604736000287,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.504604736000287,"endHours":9.504604736000287,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.504604736000287,"endHours":10.504604736000287,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.504604736000287,"endHours":11.504604736000287,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.504604736000287,"endHours":12.504604736000287,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.504604736000287,"endHours":13.504604736000287,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.504604736000287,"endHours":14.504604736000287,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.504604736000287,"endHours":15.504604736000287,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.504604736000287,"endHours":16.50460473600029,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.50460473600029,"endHours":17.50460473600029,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.50460473600029,"endHours":18.50460473600029,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.50460473600029,"endHours":19.50460473600029,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.50460473600029,"endHours":20.50460473600029,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.50460473600029,"endHours":21.50460473600029,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.50460473600029,"endHours":22.50460473600029,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.50460473600029,"endHours":23.50460473600029,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.50460473600029,"endHours":24.50460473600029,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.50460473600029,"endHours":25.50460473600029,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.50460473600029,"endHours":26.50460473600029,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.50460473600029,"endHours":27.50460473600029,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.50460473600029,"endHours":28.50460473600029,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.50460473600029,"endHours":29.50460473600029,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.50460473600029,"endHours":30.50460473600029,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.0111200521070476,"eotMinutes":-10.217919928808794,"ayanamsa":24.1072}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Ekādaśī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"vijaya-ekadashi","name":"Vijayā Ekādaśī","name_sanskrit":"विजया एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Rāma","significance":"Rāma observed this before crossing the ocean to Laṅkā.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Phālguna"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 March 13, 2018 CE · Ṛṣikeśa · Vidhyamitra","description":"March 13, 2018 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:30, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2018-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2018-03-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2018-03-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2018-03-13","x-default":"https://vidhyamitra.com/city/rishikesh/2018-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T07:58:18.211Z","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":"2026-05-16T07:58:18.211Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T07:58:18.211Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}