{"id":"vidhyamitra:city-day:rishikesh:2013-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-01-02","date_display":"January 2, 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":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456294.770833,"kali_year":5114,"ahargana":1867829.2708,"sun":{"sidereal_longitude":257.5087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.4351,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.9264,"elapsed_within_tithi_degrees":6.9264},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.4351,"elapsed_within_degrees":12.4351},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.9438},"karana":{"half_tithi_index":39,"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":2013,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456294.770833,"ahargana":1867829.2708,"kali_year":5114,"ayanamsa_lahiri":24.0347,"grahas":{"sun":{"sidereal_longitude":257.763234,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":129.94253400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-4.4443},"mars":{"sidereal_longitude":281.332034,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":248.03623400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":43.23693400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":236.87183400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":195.32063400000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":213.4166,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.4166,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2013,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456294.770833,"kali_year":5114,"ahargana":1867829.2708,"sun":{"sidereal_longitude":257.5087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.4351,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.9264,"elapsed_within_tithi_degrees":6.9264},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.4351,"elapsed_within_degrees":12.4351},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.9438},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.444,"elongation":125.074},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.444,"opposition_distance":54.926}},"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":"07:13","sunsetLocal":"17:29","solarNoonLocal":"12:21","dayLengthHours":10.253350601482913,"dayLengthDisplay":"10 Hours 15 Mins 12 Secs","nightLengthDisplay":"13 Hours 44 Mins 48 Secs","moonriseLocal":"21:23","moonsetLocal":"10:16","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.632990659941255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:47","startHours":8.506315359199798,"endHours":9.787984184385163,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:04","end":"12:21","startHours":11.069653009570526,"endHours":12.35132183475589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.61709500769378,"endHours":9.958873361076545,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.651869475742889,"endHours":7.9252921584491,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.009543481373125,"endHours":12.693100188138654,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.85753312048338,"endHours":6.541089827248907,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.370200650557525,"endHours":7.224646534014434,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.060213601669709,"endHours":14.743770308435236,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.277997135497348,"endHours":17.677997135497346,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:54","startHours":17.477997135497347,"endHours":17.905220077225803,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.227997135497347,"endHours":18.977997135497347,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.009543481373125,"endHours":24.693100188138654,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:30","startHours":7.224646534014434,"endHours":8.506315359199798,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:47","startHours":8.506315359199798,"endHours":9.787984184385163,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:04","startHours":9.787984184385163,"endHours":11.069653009570526,"quality":"inauspicious"},{"name":"Śubha","start":"11:04","end":"12:21","startHours":11.069653009570526,"endHours":12.35132183475589,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.632990659941255,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:55","startHours":13.632990659941255,"endHours":14.914659485126618,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:12","startHours":14.914659485126618,"endHours":16.196328310311984,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:29","startHours":16.196328310311984,"endHours":17.477997135497347,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:12","startHours":17.477997135497347,"endHours":19.196328310311984,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:55","startHours":19.196328310311984,"endHours":20.91465948512662,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:38","startHours":20.91465948512662,"endHours":22.632990659941257,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:21","startHours":22.632990659941257,"endHours":24.35132183475589,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"02:04","startHours":24.35132183475589,"endHours":26.069653009570526,"quality":"inauspicious"},{"name":"Śubha","start":"02:04","end":"03:47","startHours":26.069653009570526,"endHours":27.787984184385163,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:30","startHours":27.787984184385163,"endHours":29.506315359199796,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:13","startHours":29.506315359199796,"endHours":31.224646534014433,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.224646534014434,"endHours":8.224646534014434,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.224646534014434,"endHours":9.224646534014434,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.224646534014434,"endHours":10.224646534014434,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.224646534014434,"endHours":11.224646534014434,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.224646534014434,"endHours":12.224646534014434,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.224646534014434,"endHours":13.224646534014434,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.224646534014434,"endHours":14.224646534014434,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.224646534014434,"endHours":15.224646534014434,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.224646534014434,"endHours":16.224646534014433,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.224646534014433,"endHours":17.224646534014433,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.224646534014433,"endHours":18.224646534014433,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.224646534014433,"endHours":19.224646534014433,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.224646534014433,"endHours":20.224646534014433,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.224646534014433,"endHours":21.224646534014433,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.224646534014433,"endHours":22.224646534014433,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.224646534014433,"endHours":23.224646534014433,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.224646534014433,"endHours":24.224646534014433,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.224646534014433,"endHours":25.224646534014433,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.224646534014433,"endHours":26.224646534014433,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.224646534014433,"endHours":27.224646534014433,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.224646534014433,"endHours":28.224646534014433,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.224646534014433,"endHours":29.224646534014433,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.224646534014433,"endHours":30.224646534014433,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.224646534014433,"endHours":31.224646534014433,"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.912833155839607,"eotMinutes":-4.149710085353452,"ayanamsa":24.0347}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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 January 2, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"January 2, 2013 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 07:13, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-01-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-01-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-01-02","x-default":"https://vidhyamitra.com/city/rishikesh/2013-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:20:36.402Z","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":"2026-05-15T16:20:36.402Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:20:36.402Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}