{"id":"vidhyamitra:city-day:rishikesh:2120-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2120-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-03-13","date_display":"March 13, 2120 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":2120,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495445.770833,"kali_year":5221,"ahargana":1906980.2708,"sun":{"sidereal_longitude":327.0449,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":119.7861,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.7412,"elapsed_within_tithi_degrees":8.7412},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.7861,"elapsed_within_degrees":13.1194},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8309},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2120,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495445.770833,"ahargana":1906980.2708,"kali_year":5221,"ayanamsa_lahiri":25.532,"grahas":{"sun":{"sidereal_longitude":327.150178,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":120.862278,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-0.061},"mars":{"sidereal_longitude":305.8700779999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":301.09377799999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":50.51257800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":310.88767800000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":47.05957799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.0082,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.0082,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2120,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495445.770833,"kali_year":5221,"ahargana":1906980.2708,"sun":{"sidereal_longitude":327.0449,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":119.7861,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.7412,"elapsed_within_tithi_degrees":8.7412},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":119.7861,"elapsed_within_degrees":13.1194},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.8309},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.061,"elongation":152.741},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.061,"opposition_distance":27.259}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":1.32,"elongation":2.777}]},"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":11.90400317228076,"dayLengthDisplay":"11 Hours 54 Mins 14 Secs","nightLengthDisplay":"12 Hours 05 Mins 46 Secs","moonriseLocal":"16:09","moonsetLocal":"05:15","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"13:56","startHours":12.452458665480147,"endHours":13.940459062015243,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:59","end":"09:29","startHours":7.988457475874863,"endHours":9.47645787240996,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:58","end":"12:27","startHours":10.964458268945053,"endHours":12.452458665480147,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:40","startHours":9.278057819538613,"endHours":9.674857925281305,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:19","startHours":6.996457211518133,"endHours":7.313897296112287,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.055658559737456,"endHours":12.84925877122284,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:42","startHours":4.9132566563690006,"endHours":5.706856867854384,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:30","startHours":5.508456814983038,"endHours":6.5004570793397685,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.436459194193608,"endHours":15.230059405678992,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.204460251620528,"endHours":18.604460251620527,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:54","startHours":18.404460251620527,"endHours":18.900460383798894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.154460251620527,"endHours":19.904460251620527,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.055658559737456,"endHours":24.84925877122284,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:30","end":"07:59","startHours":6.5004570793397685,"endHours":7.988457475874863,"quality":"auspicious"},{"name":"Amṛta","start":"07:59","end":"09:29","startHours":7.988457475874863,"endHours":9.47645787240996,"quality":"auspicious"},{"name":"Kāla","start":"09:29","end":"10:58","startHours":9.47645787240996,"endHours":10.964458268945053,"quality":"inauspicious"},{"name":"Śubha","start":"10:58","end":"12:27","startHours":10.964458268945053,"endHours":12.452458665480147,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"13:56","startHours":12.452458665480147,"endHours":13.940459062015243,"quality":"inauspicious"},{"name":"Udveg","start":"13:56","end":"15:26","startHours":13.940459062015243,"endHours":15.42845945855034,"quality":"inauspicious"},{"name":"Chala","start":"15:26","end":"16:55","startHours":15.42845945855034,"endHours":16.91645985508543,"quality":"neutral"},{"name":"Labha","start":"16:55","end":"18:24","startHours":16.91645985508543,"endHours":18.404460251620527,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:24","end":"19:55","startHours":18.404460251620527,"endHours":19.91645985508543,"quality":"inauspicious"},{"name":"Chala","start":"19:55","end":"21:26","startHours":19.91645985508543,"endHours":21.428459458550336,"quality":"neutral"},{"name":"Labha","start":"21:26","end":"22:56","startHours":21.428459458550336,"endHours":22.940459062015243,"quality":"auspicious"},{"name":"Amṛta","start":"22:56","end":"00:27","startHours":22.940459062015243,"endHours":24.452458665480147,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"01:58","startHours":24.452458665480147,"endHours":25.96445826894505,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"03:29","startHours":25.96445826894505,"endHours":27.47645787240996,"quality":"auspicious"},{"name":"Roga","start":"03:29","end":"04:59","startHours":27.47645787240996,"endHours":28.988457475874863,"quality":"inauspicious"},{"name":"Udveg","start":"04:59","end":"06:30","startHours":28.988457475874863,"endHours":30.500457079339768,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.5004570793397685,"endHours":7.5004570793397685,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.5004570793397685,"endHours":8.500457079339768,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.500457079339768,"endHours":9.500457079339768,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.500457079339768,"endHours":10.500457079339768,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.500457079339768,"endHours":11.500457079339768,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.500457079339768,"endHours":12.500457079339768,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.500457079339768,"endHours":13.500457079339768,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.500457079339768,"endHours":14.500457079339768,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.500457079339768,"endHours":15.500457079339768,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.500457079339768,"endHours":16.500457079339768,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.500457079339768,"endHours":17.500457079339768,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.500457079339768,"endHours":18.500457079339768,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.500457079339768,"endHours":19.500457079339768,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.500457079339768,"endHours":20.500457079339768,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.500457079339768,"endHours":21.500457079339768,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.500457079339768,"endHours":22.500457079339768,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.500457079339768,"endHours":23.500457079339768,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.500457079339768,"endHours":24.500457079339768,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.500457079339768,"endHours":25.500457079339768,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.500457079339768,"endHours":26.500457079339768,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.500457079339768,"endHours":27.500457079339768,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.500457079339768,"endHours":28.500457079339768,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.500457079339768,"endHours":29.500457079339768,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.500457079339768,"endHours":30.500457079339768,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","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":-2.903871851841768,"eotMinutes":-10.217919928808794,"ayanamsa":25.532}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Trayodaśī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[{"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},{"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":"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 March 13, 2120 CE · Ṛṣikeśa · Vidhyamitra","description":"March 13, 2120 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:30, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2120-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2120-03-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2120-03-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2120-03-13","x-default":"https://vidhyamitra.com/city/rishikesh/2120-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T21:51:17.453Z","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":"2026-05-22T21:51:17.453Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T21:51:17.453Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}