{"id":"vidhyamitra:city-day:berlin:2124-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2124-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-07-13","date_display":"July 13, 2124 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":2124,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497028.770833,"kali_year":5226,"ahargana":1908563.2708,"sun":{"sidereal_longitude":84.7083,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":102.632,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.9237,"elapsed_within_tithi_degrees":5.9237},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.632,"elapsed_within_degrees":9.2987},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.3403},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2124,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497028.770833,"ahargana":1908563.2708,"kali_year":5226,"ayanamsa_lahiri":25.5926,"grahas":{"sun":{"sidereal_longitude":85.41259600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":104.57599600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-4.1568},"mars":{"sidereal_longitude":66.48979600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":102.526996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":176.19819600000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":37.987595999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":109.29159600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":215.1333,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.1333,"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":2124,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497028.770833,"kali_year":5226,"ahargana":1908563.2708,"sun":{"sidereal_longitude":84.7083,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":102.632,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.9237,"elapsed_within_tithi_degrees":5.9237},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.632,"elapsed_within_degrees":9.2987},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.3403},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.157,"elongation":17.924},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.157,"opposition_distance":162.076}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"03:59","sunsetLocal":"20:24","solarNoonLocal":"12:12","dayLengthHours":16.423852203907988,"dayLengthDisplay":"16 Hours 25 Mins 26 Secs","nightLengthDisplay":"7 Hours 34 Mins 34 Secs","moonriseLocal":"05:46","moonsetLocal":"21:11","rahuKala":{"name":"Rāhu Kāla","start":"14:15","end":"16:18","startHours":14.248672006257843,"endHours":16.301653531746343,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"03:59","end":"06:02","startHours":3.9837643788153514,"endHours":6.036745904303849,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:05","end":"10:09","startHours":8.089727429792347,"endHours":10.142708955280847,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:49","end":"08:22","startHours":7.815996559727216,"endHours":8.36345829985748,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:40","end":"05:06","startHours":4.668091553978185,"endHours":5.106060946082398,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:45","startHours":11.648228740639079,"endHours":12.743152220899612,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:48","end":"02:53","startHours":1.7939174182942863,"endHours":2.888840898554819,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:37","end":"03:59","startHours":2.6151100284896858,"endHours":3.9837643788153514,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:56","end":"16:02","startHours":14.932999181420676,"endHours":16.02792266168121,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:12","end":"20:36","startHours":20.20761658272334,"endHours":20.607616582723338,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:24","end":"21:06","startHours":20.40761658272334,"endHours":21.09194375788617,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:09","end":"21:54","startHours":20.15761658272334,"endHours":21.90761658272334,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:45","startHours":23.648228740639077,"endHours":24.74315222089961,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"03:59","end":"06:02","startHours":3.9837643788153514,"endHours":6.036745904303849,"quality":"auspicious"},{"name":"Roga","start":"06:02","end":"08:05","startHours":6.036745904303849,"endHours":8.089727429792347,"quality":"inauspicious"},{"name":"Udveg","start":"08:05","end":"10:09","startHours":8.089727429792347,"endHours":10.142708955280847,"quality":"inauspicious"},{"name":"Chala","start":"10:09","end":"12:12","startHours":10.142708955280847,"endHours":12.195690480769345,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"14:15","startHours":12.195690480769345,"endHours":14.248672006257843,"quality":"auspicious"},{"name":"Amṛta","start":"14:15","end":"16:18","startHours":14.248672006257843,"endHours":16.301653531746343,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"18:21","startHours":16.301653531746343,"endHours":18.35463505723484,"quality":"inauspicious"},{"name":"Śubha","start":"18:21","end":"20:24","startHours":18.35463505723484,"endHours":20.40761658272334,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:24","end":"21:21","startHours":20.40761658272334,"endHours":21.35463505723484,"quality":"auspicious"},{"name":"Kāla","start":"21:21","end":"22:18","startHours":21.35463505723484,"endHours":22.301653531746343,"quality":"inauspicious"},{"name":"Śubha","start":"22:18","end":"23:15","startHours":22.301653531746343,"endHours":23.248672006257845,"quality":"auspicious"},{"name":"Roga","start":"23:15","end":"00:12","startHours":23.248672006257845,"endHours":24.195690480769343,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:09","startHours":24.195690480769343,"endHours":25.142708955280845,"quality":"inauspicious"},{"name":"Chala","start":"01:09","end":"02:05","startHours":25.142708955280845,"endHours":26.089727429792347,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:02","startHours":26.089727429792347,"endHours":27.03674590430385,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"03:59","startHours":27.03674590430385,"endHours":27.98376437881535,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:59","end":"04:59","startHours":3.9837643788153514,"endHours":4.983764378815351,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"04:59","end":"05:59","startHours":4.983764378815351,"endHours":5.983764378815351,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"05:59","end":"06:59","startHours":5.983764378815351,"endHours":6.983764378815351,"planetary_lord":"Moon"},{"name":"Hora 4","start":"06:59","end":"07:59","startHours":6.983764378815351,"endHours":7.983764378815351,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"07:59","end":"08:59","startHours":7.983764378815351,"endHours":8.983764378815351,"planetary_lord":"Venus"},{"name":"Hora 6","start":"08:59","end":"09:59","startHours":8.983764378815351,"endHours":9.983764378815351,"planetary_lord":"Sun"},{"name":"Hora 7","start":"09:59","end":"10:59","startHours":9.983764378815351,"endHours":10.983764378815351,"planetary_lord":"Mars"},{"name":"Hora 8","start":"10:59","end":"11:59","startHours":10.983764378815351,"endHours":11.983764378815351,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"11:59","end":"12:59","startHours":11.983764378815351,"endHours":12.983764378815351,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"12:59","end":"13:59","startHours":12.983764378815351,"endHours":13.983764378815351,"planetary_lord":"Moon"},{"name":"Hora 11","start":"13:59","end":"14:59","startHours":13.983764378815351,"endHours":14.983764378815351,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"14:59","end":"15:59","startHours":14.983764378815351,"endHours":15.983764378815351,"planetary_lord":"Venus"},{"name":"Hora 13","start":"15:59","end":"16:59","startHours":15.983764378815351,"endHours":16.98376437881535,"planetary_lord":"Sun"},{"name":"Hora 14","start":"16:59","end":"17:59","startHours":16.98376437881535,"endHours":17.98376437881535,"planetary_lord":"Mars"},{"name":"Hora 15","start":"17:59","end":"18:59","startHours":17.98376437881535,"endHours":18.98376437881535,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"18:59","end":"19:59","startHours":18.98376437881535,"endHours":19.98376437881535,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"19:59","end":"20:59","startHours":19.98376437881535,"endHours":20.98376437881535,"planetary_lord":"Moon"},{"name":"Hora 18","start":"20:59","end":"21:59","startHours":20.98376437881535,"endHours":21.98376437881535,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"21:59","end":"22:59","startHours":21.98376437881535,"endHours":22.98376437881535,"planetary_lord":"Venus"},{"name":"Hora 20","start":"22:59","end":"23:59","startHours":22.98376437881535,"endHours":23.98376437881535,"planetary_lord":"Sun"},{"name":"Hora 21","start":"23:59","end":"00:59","startHours":23.98376437881535,"endHours":24.98376437881535,"planetary_lord":"Mars"},{"name":"Hora 22","start":"00:59","end":"01:59","startHours":24.98376437881535,"endHours":25.98376437881535,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"01:59","end":"02:59","startHours":25.98376437881535,"endHours":26.98376437881535,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"02:59","end":"03:59","startHours":26.98376437881535,"endHours":27.98376437881535,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.7959567444534,"eotMinutes":-5.361428846160681,"ayanamsa":25.5926}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvitīyā · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"festivals":[{"id":"ratha-yatra","name":"Ratha-Yātrā (Jagannātha Puri)","name_sanskrit":"रथ यात्रा","tradition":"Vaishnava","associated_deity":"Jagannātha (Krishna) + Balarāma + Subhadrā","significance":"Jagannātha's annual ratha-yātrā at Puri.","vrata":false,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2124 CE · Berlin, Germany · Vidhyamitra","description":"July 13, 2124 CE for Berlin, Germany: Śukla Dvitīyā, sūryodaya 03:59, sūryāsta 20:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2124-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2124-07-13","sa":"https://sa.vidhyamitra.com/city/berlin/2124-07-13","hi":"https://hi.vidhyamitra.com/city/berlin/2124-07-13","x-default":"https://vidhyamitra.com/city/berlin/2124-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:49:15.149Z","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":"2026-05-31T17:49:15.149Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:49:15.149Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}