{"id":"vidhyamitra:city-day:berlin:2048-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2048-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-01-13","date_display":"January 13, 2048 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469088.770833,"kali_year":5149,"ahargana":1880623.2708,"sun":{"sidereal_longitude":267.7292,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":236.6703,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9411,"elapsed_within_tithi_degrees":4.9411},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.6703,"elapsed_within_degrees":10.0036},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3995},"karana":{"half_tithi_index":54,"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":2048,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469088.770833,"ahargana":1880623.2708,"kali_year":5149,"ayanamsa_lahiri":24.524,"grahas":{"sun":{"sidereal_longitude":267.978709,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":234.86110899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-1.4532},"mars":{"sidereal_longitude":193.946509,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":286.3524090000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":21.04490900000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":233.9076090000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":253.43630899999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":255.5289,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":75.5289,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469088.770833,"kali_year":5149,"ahargana":1880623.2708,"sun":{"sidereal_longitude":267.7292,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":236.6703,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.9411,"elapsed_within_tithi_degrees":4.9411},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":236.6703,"elapsed_within_degrees":10.0036},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3995},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.453,"elongation":31.059},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.453,"opposition_distance":148.941}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":0.282,"opposition_distance":2.822}]},"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":"08:12","sunsetLocal":"16:18","solarNoonLocal":"12:15","dayLengthHours":8.091667790282825,"dayLengthDisplay":"8 Hours 05 Mins 30 Secs","nightLengthDisplay":"15 Hours 54 Mins 30 Secs","moonriseLocal":"06:12","moonsetLocal":"13:53","rahuKala":{"name":"Rāhu Kāla","start":"09:13","end":"10:14","startHours":9.215890103500167,"endHours":10.22734857728552,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:14","end":"12:15","startHours":11.238807051070872,"endHours":12.250265524856225,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:16","end":"14:16","startHours":13.261723998641578,"endHours":14.273182472426932,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.092487447447471,"endHours":10.362209707123567,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:32","end":"08:45","startHours":8.54158445430993,"endHours":8.757362262050806,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:31","startHours":11.980543265180133,"endHours":12.51998778453232,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:08","end":"07:40","startHours":7.125542591010436,"endHours":7.664987110362625,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:32","end":"08:12","startHours":7.530125980524578,"endHours":8.204431629714813,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:08","startHours":13.598876823236697,"endHours":14.138321342588885,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:06","end":"16:30","startHours":16.09609941999764,"endHours":16.496099419997638,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:18","end":"16:38","startHours":16.29609941999764,"endHours":16.633252244592757,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:03","end":"17:48","startHours":16.04609941999764,"endHours":17.79609941999764,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:31","startHours":23.98054326518013,"endHours":24.51998778453232,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"08:12","end":"09:13","startHours":8.204431629714813,"endHours":9.215890103500167,"quality":"auspicious"},{"name":"Kāla","start":"09:13","end":"10:14","startHours":9.215890103500167,"endHours":10.22734857728552,"quality":"inauspicious"},{"name":"Śubha","start":"10:14","end":"11:14","startHours":10.22734857728552,"endHours":11.238807051070872,"quality":"auspicious"},{"name":"Roga","start":"11:14","end":"12:15","startHours":11.238807051070872,"endHours":12.250265524856225,"quality":"inauspicious"},{"name":"Udveg","start":"12:15","end":"13:16","startHours":12.250265524856225,"endHours":13.261723998641578,"quality":"inauspicious"},{"name":"Chala","start":"13:16","end":"14:16","startHours":13.261723998641578,"endHours":14.273182472426932,"quality":"neutral"},{"name":"Labha","start":"14:16","end":"15:17","startHours":14.273182472426932,"endHours":15.284640946212285,"quality":"auspicious"},{"name":"Amṛta","start":"15:17","end":"16:18","startHours":15.284640946212285,"endHours":16.29609941999764,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:18","end":"18:17","startHours":16.29609941999764,"endHours":18.284640946212285,"quality":"neutral"},{"name":"Labha","start":"18:17","end":"20:16","startHours":18.284640946212285,"endHours":20.27318247242693,"quality":"auspicious"},{"name":"Amṛta","start":"20:16","end":"22:16","startHours":20.27318247242693,"endHours":22.26172399864158,"quality":"auspicious"},{"name":"Kāla","start":"22:16","end":"00:15","startHours":22.26172399864158,"endHours":24.250265524856225,"quality":"inauspicious"},{"name":"Śubha","start":"00:15","end":"02:14","startHours":24.250265524856225,"endHours":26.23880705107087,"quality":"auspicious"},{"name":"Roga","start":"02:14","end":"04:14","startHours":26.23880705107087,"endHours":28.227348577285518,"quality":"inauspicious"},{"name":"Udveg","start":"04:14","end":"06:13","startHours":28.227348577285518,"endHours":30.215890103500165,"quality":"inauspicious"},{"name":"Chala","start":"06:13","end":"08:12","startHours":30.215890103500165,"endHours":32.20443162971481,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"08:12","end":"09:12","startHours":8.204431629714813,"endHours":9.204431629714813,"planetary_lord":"Moon"},{"name":"Hora 2","start":"09:12","end":"10:12","startHours":9.204431629714813,"endHours":10.204431629714813,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"10:12","end":"11:12","startHours":10.204431629714813,"endHours":11.204431629714813,"planetary_lord":"Venus"},{"name":"Hora 4","start":"11:12","end":"12:12","startHours":11.204431629714813,"endHours":12.204431629714813,"planetary_lord":"Sun"},{"name":"Hora 5","start":"12:12","end":"13:12","startHours":12.204431629714813,"endHours":13.204431629714813,"planetary_lord":"Mars"},{"name":"Hora 6","start":"13:12","end":"14:12","startHours":13.204431629714813,"endHours":14.204431629714813,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"14:12","end":"15:12","startHours":14.204431629714813,"endHours":15.204431629714813,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"15:12","end":"16:12","startHours":15.204431629714813,"endHours":16.20443162971481,"planetary_lord":"Moon"},{"name":"Hora 9","start":"16:12","end":"17:12","startHours":16.20443162971481,"endHours":17.20443162971481,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"17:12","end":"18:12","startHours":17.20443162971481,"endHours":18.20443162971481,"planetary_lord":"Venus"},{"name":"Hora 11","start":"18:12","end":"19:12","startHours":18.20443162971481,"endHours":19.20443162971481,"planetary_lord":"Sun"},{"name":"Hora 12","start":"19:12","end":"20:12","startHours":19.20443162971481,"endHours":20.20443162971481,"planetary_lord":"Mars"},{"name":"Hora 13","start":"20:12","end":"21:12","startHours":20.20443162971481,"endHours":21.20443162971481,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"21:12","end":"22:12","startHours":21.20443162971481,"endHours":22.20443162971481,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"22:12","end":"23:12","startHours":22.20443162971481,"endHours":23.20443162971481,"planetary_lord":"Moon"},{"name":"Hora 16","start":"23:12","end":"00:12","startHours":23.20443162971481,"endHours":24.20443162971481,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"00:12","end":"01:12","startHours":24.20443162971481,"endHours":25.20443162971481,"planetary_lord":"Venus"},{"name":"Hora 18","start":"01:12","end":"02:12","startHours":25.20443162971481,"endHours":26.20443162971481,"planetary_lord":"Sun"},{"name":"Hora 19","start":"02:12","end":"03:12","startHours":26.20443162971481,"endHours":27.20443162971481,"planetary_lord":"Mars"},{"name":"Hora 20","start":"03:12","end":"04:12","startHours":27.20443162971481,"endHours":28.20443162971481,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"04:12","end":"05:12","startHours":28.20443162971481,"endHours":29.20443162971481,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"05:12","end":"06:12","startHours":29.20443162971481,"endHours":30.20443162971481,"planetary_lord":"Moon"},{"name":"Hora 23","start":"06:12","end":"07:12","startHours":30.20443162971481,"endHours":31.20443162971481,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"07:12","end":"08:12","startHours":31.20443162971481,"endHours":32.20443162971481,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.558418384930544,"eotMinutes":-8.635931491373626,"ayanamsa":24.524}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Somavāra (Monday) — 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 January 13, 2048 CE · Berlin, Germany · Vidhyamitra","description":"January 13, 2048 CE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 08:12, sūryāsta 16:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2048-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2048-01-13","sa":"https://sa.vidhyamitra.com/city/berlin/2048-01-13","hi":"https://hi.vidhyamitra.com/city/berlin/2048-01-13","x-default":"https://vidhyamitra.com/city/berlin/2048-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T07:30:44.308Z","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":"2026-09-06T07:30:44.308Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T07:30:44.308Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}